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1 @PREAMBLE{ "\newcommand{\noopsort}[1]{}" } |
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2 |
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3 @STRING{CUP = {Cambridge University Press}} |
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4 @STRING{OUP = {Oxford University Press}} |
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5 @STRING{PUP = {Princeton University Press}} |
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6 @STRING{SV = {Springer-Verlag}} |
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7 @STRING{AP = {Academic Press}} |
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8 @STRING{AMS = {American Mathematical Society}} |
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9 |
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10 @article {MR1917056, |
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11 AUTHOR = {Bar-Natan, Dror}, |
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12 TITLE = {On {K}hovanov's categorification of the {J}ones polynomial}, |
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13 JOURNAL = {Algebr. Geom. Topol.}, |
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14 FJOURNAL = {Algebraic \& Geometric Topology}, |
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15 VOLUME = {2}, |
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16 YEAR = {2002}, |
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17 PAGES = {337--370 (electronic)}, |
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18 ISSN = {1472-2747}, |
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19 MRCLASS = {57M27}, |
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20 MRNUMBER = {MR1917056 (2003h:57014)}, |
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21 MRREVIEWER = {Jacob Andrew Rasmussen}, |
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22 note = {arXiv:\arxiv{math.QA/0201043}}, |
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23 } |
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24 |
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25 @incollection {MR2147420, |
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26 AUTHOR = {Bar-Natan, Dror}, |
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27 TITLE = {Khovanov homology for knots and links with up to 11 crossings}, |
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28 BOOKTITLE = {Advances in topological quantum field theory}, |
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29 SERIES = {NATO Sci. Ser. II Math. Phys. Chem.}, |
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30 VOLUME = {179}, |
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31 PAGES = {167--241}, |
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32 PUBLISHER = {Kluwer Acad. Publ.}, |
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33 ADDRESS = {Dordrecht}, |
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34 YEAR = {2004}, |
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35 MRCLASS = {57M27}, |
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36 MRNUMBER = {MR2147420 (2006c:57009)}, |
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37 MRREVIEWER = {Marta M. Asaeda}, |
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38 } |
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39 |
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40 @article {MR2174270, |
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41 AUTHOR = {Bar-Natan, Dror}, |
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42 TITLE = {Khovanov's homology for tangles and cobordisms}, |
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43 JOURNAL = {Geom. Topol.}, |
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44 FJOURNAL = {Geometry and Topology}, |
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45 VOLUME = {9}, |
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46 YEAR = {2005}, |
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47 PAGES = {1443--1499 (electronic)}, |
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48 ISSN = {1465-3060}, |
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49 MRCLASS = {57M27 (57M25)}, |
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50 MRNUMBER = {MR2174270}, |
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51 note = {arXiv:\arxiv{math.GT/0410495}}, |
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52 } |
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53 |
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54 @article {MR1680395, |
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55 AUTHOR = {Khovanov, Mikhail and Kuperberg, Greg}, |
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56 TITLE = {Web bases for {${\rm sl}(3)$} are not dual canonical}, |
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57 JOURNAL = {Pacific J. Math.}, |
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58 FJOURNAL = {Pacific Journal of Mathematics}, |
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59 VOLUME = {188}, |
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60 YEAR = {1999}, |
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61 NUMBER = {1}, |
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62 PAGES = {129--153}, |
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63 ISSN = {0030-8730}, |
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64 CODEN = {PJMAAI}, |
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65 MRCLASS = {17B37 (22E60 57M27 81R05)}, |
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66 MRNUMBER = {MR1680395 (2000j:17023a)}, |
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67 MRREVIEWER = {Robert J. Marsh}, |
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68 note = {arXiv:\arxiv{q-alg/9712046}}, |
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69 } |
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70 |
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71 @article {MR1740682, |
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72 AUTHOR = {Khovanov, Mikhail}, |
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73 TITLE = {A categorification of the {J}ones polynomial}, |
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74 JOURNAL = {Duke Math. J.}, |
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75 FJOURNAL = {Duke Mathematical Journal}, |
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76 VOLUME = {101}, |
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77 YEAR = {2000}, |
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78 NUMBER = {3}, |
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79 PAGES = {359--426}, |
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80 ISSN = {0012-7094}, |
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81 CODEN = {DUMJAO}, |
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82 MRCLASS = {57M27 (57R56)}, |
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83 MRNUMBER = {MR1740682 (2002j:57025)}, |
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84 } |
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85 |
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86 @article {MR1928174, |
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87 AUTHOR = {Khovanov, Mikhail}, |
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88 TITLE = {A functor-valued invariant of tangles}, |
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89 JOURNAL = {Algebr. Geom. Topol.}, |
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90 FJOURNAL = {Algebraic \& Geometric Topology}, |
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91 VOLUME = {2}, |
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92 YEAR = {2002}, |
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93 PAGES = {665--741 (electronic)}, |
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94 ISSN = {1472-2747}, |
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95 MRCLASS = {57M27 (57R56)}, |
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96 MRNUMBER = {MR1928174 (2004d:57016)}, |
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97 MRREVIEWER = {Jacob Andrew Rasmussen}, |
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98 note = {arXiv:\arxiv{math.GT/0103190}}, |
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99 } |
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100 |
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101 @article {MR2034399, |
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102 AUTHOR = {Khovanov, Mikhail}, |
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103 TITLE = {Patterns in knot cohomology. {I}}, |
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104 JOURNAL = {Experiment. Math.}, |
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105 FJOURNAL = {Experimental Mathematics}, |
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106 VOLUME = {12}, |
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107 YEAR = {2003}, |
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108 NUMBER = {3}, |
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109 PAGES = {365--374}, |
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110 ISSN = {1058-6458}, |
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111 MRCLASS = {57M27 (18G60 57M25 57R56)}, |
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112 MRNUMBER = {MR2034399 (2004m:57022)}, |
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113 MRREVIEWER = {Jacob Andrew Rasmussen}, |
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114 } |
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115 |
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116 @article {MR2100691, |
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117 AUTHOR = {Khovanov, Mikhail}, |
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118 TITLE = {sl(3) link homology}, |
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119 JOURNAL = {Algebr. Geom. Topol.}, |
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120 FJOURNAL = {Algebraic \& Geometric Topology}, |
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121 VOLUME = {4}, |
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122 YEAR = {2004}, |
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123 PAGES = {1045--1081 (electronic)}, |
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124 ISSN = {1472-2747}, |
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125 MRCLASS = {57M27 (18G60 57R56)}, |
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126 MRNUMBER = {MR2100691 (2005g:57032)}, |
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127 MRREVIEWER = {Justin Sawon}, |
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128 note = {arXiv:\arxiv{math.QA/0304375}}, |
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129 } |
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130 |
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131 @article {MR2124557, |
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132 AUTHOR = {Khovanov, Mikhail}, |
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133 TITLE = {Categorifications of the colored {J}ones polynomial}, |
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134 JOURNAL = {J. Knot Theory Ramifications}, |
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135 FJOURNAL = {Journal of Knot Theory and its Ramifications}, |
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136 VOLUME = {14}, |
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137 YEAR = {2005}, |
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138 NUMBER = {1}, |
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139 PAGES = {111--130}, |
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140 ISSN = {0218-2165}, |
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141 MRCLASS = {57M27}, |
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142 MRNUMBER = {MR2124557 (2006a:57016)}, |
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143 MRREVIEWER = {Marta M. Asaeda}, |
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144 } |
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145 |
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146 @article {MR2171235, |
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147 AUTHOR = {Khovanov, Mikhail}, |
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148 TITLE = {An invariant of tangle cobordisms}, |
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149 JOURNAL = {Trans. Amer. Math. Soc.}, |
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150 FJOURNAL = {Transactions of the American Mathematical Society}, |
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151 VOLUME = {358}, |
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152 YEAR = {2006}, |
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153 NUMBER = {1}, |
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154 PAGES = {315--327 (electronic)}, |
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155 ISSN = {0002-9947}, |
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156 CODEN = {TAMTAM}, |
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157 MRCLASS = {57Q45}, |
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158 MRNUMBER = {MR2171235}, |
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159 note = {arXiv:\arxiv{math.GT/0207264}}, |
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160 } |
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161 |
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162 @misc{math.QA/0401268, |
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163 title = {{Matrix factorizations and link homology}}, |
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164 author = {Mikhail Khovanov and Lev Rozansky}, |
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165 note = {arXiv:\arxiv{math.QA/0401268}}} |
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166 |
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167 @misc{math.QA/0505056, |
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168 title = {{Matrix factorizations and link homology II}}, |
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169 author = {Mikhail Khovanov and Lev Rozansky}, |
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170 note = {arXiv:\arxiv{math.QA/0505056}}} |
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171 |
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172 @incollection {MR2048108, |
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173 AUTHOR = {Thurston, Dylan P.}, |
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174 TITLE = {The algebra of knotted trivalent graphs and {T}uraev's shadow |
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175 world}, |
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176 BOOKTITLE = {Invariants of knots and 3-manifolds (Kyoto, 2001)}, |
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177 SERIES = {Geom. Topol. Monogr.}, |
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178 VOLUME = {4}, |
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179 PAGES = {337--362 (electronic)}, |
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180 PUBLISHER = {Geom. Topol. Publ., Coventry}, |
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181 YEAR = {2002}, |
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182 MRCLASS = {57M25 (57M15 57M20 57Q40)}, |
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183 MRNUMBER = {MR2048108 (2005c:57010)}, |
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184 MRREVIEWER = {Marko Kranjc}, |
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185 note = {arXiv:\arxiv{math.GT/0311458}}, |
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186 } |
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187 |
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188 @article {MR1403861, |
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189 AUTHOR = {Kuperberg, Greg}, |
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190 TITLE = {Spiders for rank {$2$} {L}ie algebras}, |
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191 JOURNAL = {Comm. Math. Phys.}, |
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192 FJOURNAL = {Communications in Mathematical Physics}, |
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193 VOLUME = {180}, |
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194 YEAR = {1996}, |
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195 NUMBER = {1}, |
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196 PAGES = {109--151}, |
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197 ISSN = {0010-3616}, |
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198 CODEN = {CMPHAY}, |
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199 MRCLASS = {17B10 (22E60 81R05)}, |
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200 MRNUMBER = {MR1403861 (97f:17005)}, |
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201 MRREVIEWER = {Stefano Capparelli}, |
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202 note = {arXiv:\arxiv{q-alg/9712003}}, |
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203 } |
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204 |
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205 @misc{math.GT/0606318, |
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206 title = {{Fast Khovanov Homology Computations}}, |
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207 author = {Dror Bar-Natan}, |
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208 note = {arXiv:\arxiv{math.GT/0606318}}, |
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209 url = {http://www.math.toronto.edu/~drorbn/papers/FastKh/} |
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210 } |
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211 |
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212 @misc{math.GT/0603347, |
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213 title = {{On the Algebraic Structure of Bar-Natan's Universal |
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214 Geometric Complex and the Geometric Structure of Khovanov |
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215 Link Homology Theories}}, |
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216 author = {Gad Naot}, |
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217 note = {arXiv:\arxiv{math.GT/0603347}}} |
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218 |
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219 @misc{math.QA/9909027, |
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220 title = {{Planar algebras, I}}, |
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221 author = {Vaughan F. R. Jones}, |
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222 note = {arXiv:\arxiv{math.QA/9909027}}} |
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223 |
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224 @article {MR1217386, |
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225 AUTHOR = {Turaev, V. and Wenzl, H.}, |
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226 TITLE = {Quantum invariants of {$3$}-manifolds associated with |
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227 classical simple {L}ie algebras}, |
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228 JOURNAL = {Internat. J. Math.}, |
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229 FJOURNAL = {International Journal of Mathematics}, |
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230 VOLUME = {4}, |
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231 YEAR = {1993}, |
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232 NUMBER = {2}, |
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233 PAGES = {323--358}, |
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234 ISSN = {0129-167X}, |
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235 MRCLASS = {57M25 (17B37 57N10)}, |
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236 MRNUMBER = {MR1217386 (94i:57019)}, |
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237 MRREVIEWER = {Toshitake Kohno}, |
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238 } |
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239 |
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240 @article {MR1470857, |
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241 AUTHOR = {Wenzl, Hans}, |
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242 TITLE = {{$C\sp *$} tensor categories from quantum groups}, |
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243 JOURNAL = {J. Amer. Math. Soc.}, |
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244 FJOURNAL = {Journal of the American Mathematical Society}, |
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245 VOLUME = {11}, |
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246 YEAR = {1998}, |
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247 NUMBER = {2}, |
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248 PAGES = {261--282}, |
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249 ISSN = {0894-0347}, |
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250 MRCLASS = {46L89 (17B37 46L05)}, |
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251 MRNUMBER = {MR1470857 (98k:46123)}, |
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252 MRREVIEWER = {Andrzej Sitarz}, |
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253 eprint = {\url{http://ftp.ams.org/jams/1998-11-02/S0894-0347-98-00253-7/S0894-0347-98-00253-7.pdf}}, |
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254 } |
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255 |
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256 @misc{math.GT/0603307, |
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257 title = {{The universal sl3-link homology}}, |
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258 author = {Marco Mackaay and Pedro Vaz}, |
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259 note = {arXiv:\arxiv{math.GT/0603307}}} |
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260 |
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261 @misc{wiki:Grothendieck-group, |
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262 author = "Wikipedia", |
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263 title = "Grothendieck group --- Wikipedia{,} The Free Encyclopedia", |
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264 year = "2006", |
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265 note = "[\href{http://en.wikipedia.org/w/index.php?title=Grothendieck_group&oldid=52451663}{Online}; accessed 30-June-2006]" |
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266 } |
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267 |
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268 @misc{wiki:Invariant-basis-number, |
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269 author = "Wikipedia", |
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270 title = "Invariant basis number --- Wikipedia{,} The Free Encyclopedia", |
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271 year = "2006", |
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272 note = "[\href{http://en.wikipedia.org/w/index.php?title=Invariant_basis_number&oldid=85220456}{Online}; accessed 24-December-2006]" |
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273 } |
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274 |
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275 @article {MR1403351, |
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276 AUTHOR = {Etingof, Pavel and Kazhdan, David}, |
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277 TITLE = {Quantization of {L}ie bialgebras. {I}}, |
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278 JOURNAL = {Selecta Math. (N.S.)}, |
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279 FJOURNAL = {Selecta Mathematica. New Series}, |
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280 VOLUME = {2}, |
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281 YEAR = {1996}, |
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282 NUMBER = {1}, |
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283 PAGES = {1--41}, |
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284 ISSN = {1022-1824}, |
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285 CODEN = {SMATF6}, |
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286 MRCLASS = {17B37 (16W30 18D20 81R50)}, |
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287 MRNUMBER = {MR1403351 (97f:17014)}, |
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288 MRREVIEWER = {Yu. N. Bespalov}, |
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289 } |
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290 |
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291 @article {MR1669953, |
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292 AUTHOR = {Etingof, Pavel and Kazhdan, David}, |
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293 TITLE = {Quantization of {L}ie bialgebras. {II}}, |
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294 JOURNAL = {Selecta Math. (N.S.)}, |
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295 FJOURNAL = {Selecta Mathematica. New Series}, |
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296 VOLUME = {4}, |
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297 YEAR = {1998}, |
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298 NUMBER = {2}, |
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299 PAGES = {213--231, 233--269}, |
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300 ISSN = {1022-1824}, |
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301 CODEN = {SMATF6}, |
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302 MRCLASS = {17B62 (16W35 17B37 18D20)}, |
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303 MRNUMBER = {MR1669953 (2000i:17033)}, |
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304 MRREVIEWER = {Benjamin David Enriquez}, |
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305 note = {arXiv:\arxiv{q-alg/9701038}}, |
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306 } |
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307 |
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308 @article {MR1771217, |
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309 AUTHOR = {Etingof, Pavel and Kazhdan, David}, |
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310 TITLE = {Quantization of {L}ie bialgebras. {IV}. {T}he coinvariant |
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311 construction and the quantum {KZ} equations}, |
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312 JOURNAL = {Selecta Math. (N.S.)}, |
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313 FJOURNAL = {Selecta Mathematica. New Series}, |
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314 VOLUME = {6}, |
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315 YEAR = {2000}, |
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316 NUMBER = {1}, |
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317 PAGES = {79--104}, |
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318 ISSN = {1022-1824}, |
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319 CODEN = {SMATF6}, |
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320 MRCLASS = {17B37 (32G34 81R50)}, |
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321 MRNUMBER = {MR1771217 (2002i:17021)}, |
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322 } |
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323 |
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324 @article {MR1771218, |
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325 AUTHOR = {Etingof, Pavel and Kazhdan, David}, |
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326 TITLE = {Quantization of {L}ie bialgebras. {V}. {Q}uantum vertex |
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327 operator algebras}, |
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328 JOURNAL = {Selecta Math. (N.S.)}, |
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329 FJOURNAL = {Selecta Mathematica. New Series}, |
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330 VOLUME = {6}, |
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331 YEAR = {2000}, |
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332 NUMBER = {1}, |
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333 PAGES = {105--130}, |
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334 ISSN = {1022-1824}, |
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335 CODEN = {SMATF6}, |
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336 MRCLASS = {17B37 (17B69 81R50)}, |
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337 MRNUMBER = {MR1771218 (2002i:17022)}, |
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338 } |
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339 |
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340 @article {MR2253455, |
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341 AUTHOR = {Bar-Natan, Dror and Morrison, Scott}, |
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342 TITLE = {The {K}aroubi envelope and {L}ee's degeneration of {K}hovanov |
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343 homology}, |
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344 JOURNAL = {Algebr. Geom. Topol.}, |
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345 FJOURNAL = {Algebraic \& Geometric Topology}, |
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346 VOLUME = {6}, |
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347 YEAR = {2006}, |
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348 PAGES = {1459--1469 (electronic)}, |
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349 ISSN = {1472-2747}, |
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350 MRCLASS = {57M27 (18E05 57M25)}, |
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351 MRNUMBER = {MR2253455}, |
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352 note = {arXiv:\arxiv{math.GT/0606542}}, |
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353 } |
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354 |
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355 %S! fix this citation! |
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356 @article{morrison-walker, |
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357 AUTHOR = {Scott Morrison and Kevin Walker}, |
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358 TITLE = {Fixing the functoriality of Khovanov homology}, |
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359 note = {\url{http://scott-morrison.org/functoriality}}, |
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360 } |
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361 |
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362 @misc{kw:tqft, |
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363 AUTHOR = {Walker, Kevin}, |
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364 TITLE = {Topological Quantum Field Theories}, |
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365 URL = {http://canyon23.net/math/tc.pdf}, |
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366 } |
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367 |
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368 @article{math.GT/0206303, |
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369 title = {{An invariant of link cobordisms from Khovanov homology}}, |
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370 author = {Magnus Jacobsson}, |
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371 journal = {Algebr. Geom. Topol.}, |
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372 volume = 4, |
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373 year = 2004, |
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374 pages = {1211--1251}, |
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375 note = {arXiv:\arxiv{math.GT/0206303}}} |
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376 |
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377 @misc{math.GT/0610650, |
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378 title = {{Khovanov-Rozansky homology via a canopolis formalism}}, |
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379 author = {Ben Webster}, |
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380 note = {arXiv:\arxiv{math.GT/0610650}}} |
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381 |
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382 @misc{green-implementation, |
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383 title = {{JavaKh}}, |
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384 author= {Jeremey Green}, |
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385 note = {\url{http://katlas.math.toronto.edu/wiki/Khovanov_Homology}}, |
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386 } |
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387 |
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388 @misc{ortiz-navarro, |
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389 title = {{Khovanov Homology and Reidemeister Torsion}}, |
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390 author ={Juan Ariel Ortiz-Navarro and Chris Truman}, |
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391 note = {a talk at the 2006 Toronto CMS meeting, slides at \url{http://www.math.uiowa.edu/~jortizna/Present-CMS-06.pdf}}, |
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392 } |
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393 |
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394 @book {MR1438306, |
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395 AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.}, |
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396 TITLE = {Methods of homological algebra}, |
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397 NOTE = {Translated from the 1988 Russian original}, |
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398 PUBLISHER = {Springer-Verlag}, |
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399 ADDRESS = {Berlin}, |
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400 YEAR = {1996}, |
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401 PAGES = {xviii+372}, |
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402 ISBN = {3-540-54746-0}, |
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403 MRCLASS = {18-02 (18Exx 18Gxx 55U35)}, |
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404 MRNUMBER = {MR1438306 (97j:18001)}, |
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405 } |