1 @PREAMBLE{ "\newcommand{\noopsort}[1]{}" }

     2 

     3 @STRING{CUP = {Cambridge University Press}}

     4 @STRING{OUP = {Oxford University Press}}

     5 @STRING{PUP = {Princeton University Press}}

     6 @STRING{SV = {Springer-Verlag}}

     7 @STRING{AP = {Academic Press}}

     8 @STRING{AMS = {American Mathematical Society}}

     9 

    10 %S! fix this citation!

    11 @article{morrison-walker,

    12     AUTHOR = {David Clark and Scott Morrison and Kevin Walker},

    13     TITLE = {Fixing the functoriality of Khovanov homology},

    14      note = {\arxiv{math.GT/0701339}},

    15 }

    16 

    17 @misc{kw:tqft,

    18     AUTHOR = {Walker, Kevin},

    19     TITLE  = {Topological Quantum Field Theories},

    20     note    = {draft available at \url{http://canyon23.net/math/tc.pdf}},

    21 }

    22 

    23 @article {MR1854636,

    24     AUTHOR = {Keller, Bernhard},

    25      TITLE = {Introduction to {$A$}-infinity algebras and modules},

    26    JOURNAL = {Homology Homotopy Appl.},

    27   FJOURNAL = {Homology, Homotopy and Applications},

    28     VOLUME = {3},

    29       YEAR = {2001},

    30     NUMBER = {1},

    31      PAGES = {1--35 (electronic)},

    32       ISSN = {1512-0139},

    33    MRCLASS = {18E30 (18D50 18G40 55P43 55U35)},

    34   MRNUMBER = {MR1854636 (2004a:18008a)},

    35 MRREVIEWER = {Ulrike Tillmann},

    36       note = {\mathscinet{MR1854636} \arxiv{math.RA/9910179}},

    37 }

    38 

    39 @incollection {MR2061854,

    40     AUTHOR = {McClure, James E. and Smith, Jeffrey H.},

    41      TITLE = {Operads and cosimplicial objects: an introduction},

    42  BOOKTITLE = {Axiomatic, enriched and motivic homotopy theory},

    43     SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},

    44     VOLUME = {131},

    45      PAGES = {133--171},

    46  PUBLISHER = {Kluwer Acad. Publ.},

    47    ADDRESS = {Dordrecht},

    48       YEAR = {2004},

    49    MRCLASS = {55P48 (18D50)},

    50   MRNUMBER = {MR2061854 (2005b:55018)},

    51 MRREVIEWER = {David Chataur},

    52       note = {\mathscinet{MR2061854} \arxiv{math.QA/0402117}},

    53 }

    54 

    55 @book {MR0420610,

    56     AUTHOR = {May, J. P.},

    57      TITLE = {The geometry of iterated loop spaces},

    58  PUBLISHER = {Springer-Verlag},

    59    ADDRESS = {Berlin},

    60       YEAR = {1972},

    61      PAGES = {viii+175},

    62    MRCLASS = {55D35},

    63   MRNUMBER = {MR0420610 (54 \#8623b)},

    64 MRREVIEWER = {J. Stasheff},

    65       note = {Lectures Notes in Mathematics, Vol. 271 \mathscinet{MR0420610} \href{http://www.math.uchicago.edu/~may/BOOKS/gils.pdf}{available online}},

    66 }

    67 

    68 @article {MR0236922,

    69     AUTHOR = {Boardman, J. M. and Vogt, R. M.},

    70      TITLE = {Homotopy-everything {$H$}-spaces},

    71    JOURNAL = {Bull. Amer. Math. Soc.},

    72   FJOURNAL = {Bulletin of the American Mathematical Society},

    73     VOLUME = {74},

    74       YEAR = {1968},

    75      PAGES = {1117--1122},

    76       ISSN = {0002-9904},

    77    MRCLASS = {55.42},

    78   MRNUMBER = {MR0236922 (38 \#5215)},

    79 MRREVIEWER = {R. J. Milgram},

    80       note = {\mathscinet{MR0236922} \doi{10.1090/S0002-9904-1968-12070-1}},

    81 }

    82 

    83 @book {MR0420609,

    84     AUTHOR = {Boardman, J. M. and Vogt, R. M.},

    85      TITLE = {Homotopy invariant algebraic structures on topological spaces},

    86     SERIES = {Lecture Notes in Mathematics, Vol. 347},

    87  PUBLISHER = {Springer-Verlag},

    88    ADDRESS = {Berlin},

    89       YEAR = {1973},

    90      PAGES = {x+257},

    91    MRCLASS = {55D35},

    92   MRNUMBER = {MR0420609 (54 \#8623a)},

    93 MRREVIEWER = {J. Stasheff},

    94       note = {\mathscinet{MR0420609}},

    95 }

    96 

    97 %The framed little discs operad:

    98 @article {MR1256989,

    99     AUTHOR = {Getzler, E.},

   100      TITLE = {Batalin-{V}ilkovisky algebras and two-dimensional topological

   101               field theories},

   102    JOURNAL = {Comm. Math. Phys.},

   103   FJOURNAL = {Communications in Mathematical Physics},

   104     VOLUME = {159},

   105       YEAR = {1994},

   106     NUMBER = {2},

   107      PAGES = {265--285},

   108       ISSN = {0010-3616},

   109      CODEN = {CMPHAY},

   110    MRCLASS = {81T70 (17B81 55Q99 58Z05 81T40)},

   111   MRNUMBER = {MR1256989 (95h:81099)},

   112 MRREVIEWER = {J. Stasheff},

   113       note = {\mathscinet{MR1256989} \euclid{1104254599}},

   114 }

   115 

   116 

   117 

   118 

   119 

   120 @article {MR1917056,

   121     AUTHOR = {Bar-Natan, Dror},

   122      TITLE = {On {K}hovanov's categorification of the {J}ones polynomial},

   123    JOURNAL = {Algebr. Geom. Topol.},

   124   FJOURNAL = {Algebraic \& Geometric Topology},

   125     VOLUME = {2},

   126       YEAR = {2002},

   127      PAGES = {337--370 (electronic)},

   128       ISSN = {1472-2747},

   129    MRCLASS = {57M27},

   130   MRNUMBER = {MR1917056 (2003h:57014)},

   131 MRREVIEWER = {Jacob Andrew Rasmussen},

   132       note = {arXiv:\arxiv{math.QA/0201043}},

   133 }

   134 

   135 @incollection {MR2147420,

   136     AUTHOR = {Bar-Natan, Dror},

   137      TITLE = {Khovanov homology for knots and links with up to 11 crossings},

   138  BOOKTITLE = {Advances in topological quantum field theory},

   139     SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},

   140     VOLUME = {179},

   141      PAGES = {167--241},

   142  PUBLISHER = {Kluwer Acad. Publ.},

   143    ADDRESS = {Dordrecht},

   144       YEAR = {2004},

   145    MRCLASS = {57M27},

   146   MRNUMBER = {MR2147420 (2006c:57009)},

   147 MRREVIEWER = {Marta M. Asaeda},

   148 }

   149 

   150 @article {MR2174270,

   151     AUTHOR = {Bar-Natan, Dror},

   152      TITLE = {Khovanov's homology for tangles and cobordisms},

   153    JOURNAL = {Geom. Topol.},

   154   FJOURNAL = {Geometry and Topology},

   155     VOLUME = {9},

   156       YEAR = {2005},

   157      PAGES = {1443--1499 (electronic)},

   158       ISSN = {1465-3060},

   159    MRCLASS = {57M27 (57M25)},

   160   MRNUMBER = {MR2174270},

   161       note = {arXiv:\arxiv{math.GT/0410495}},

   162 }

   163 

   164 @article {MR1680395,

   165     AUTHOR = {Khovanov, Mikhail and Kuperberg, Greg},

   166      TITLE = {Web bases for {${\rm sl}(3)$} are not dual canonical},

   167    JOURNAL = {Pacific J. Math.},

   168   FJOURNAL = {Pacific Journal of Mathematics},

   169     VOLUME = {188},

   170       YEAR = {1999},

   171     NUMBER = {1},

   172      PAGES = {129--153},

   173       ISSN = {0030-8730},

   174      CODEN = {PJMAAI},

   175    MRCLASS = {17B37 (22E60 57M27 81R05)},

   176   MRNUMBER = {MR1680395 (2000j:17023a)},

   177 MRREVIEWER = {Robert J. Marsh},

   178       note = {arXiv:\arxiv{q-alg/9712046}},

   179 }

   180 

   181 @article {MR1740682,

   182     AUTHOR = {Khovanov, Mikhail},

   183      TITLE = {A categorification of the {J}ones polynomial},

   184    JOURNAL = {Duke Math. J.},

   185   FJOURNAL = {Duke Mathematical Journal},

   186     VOLUME = {101},

   187       YEAR = {2000},

   188     NUMBER = {3},

   189      PAGES = {359--426},

   190       ISSN = {0012-7094},

   191      CODEN = {DUMJAO},

   192    MRCLASS = {57M27 (57R56)},

   193   MRNUMBER = {MR1740682 (2002j:57025)},

   194 }

   195 

   196 @article {MR1928174,

   197     AUTHOR = {Khovanov, Mikhail},

   198      TITLE = {A functor-valued invariant of tangles},

   199    JOURNAL = {Algebr. Geom. Topol.},

   200   FJOURNAL = {Algebraic \& Geometric Topology},

   201     VOLUME = {2},

   202       YEAR = {2002},

   203      PAGES = {665--741 (electronic)},

   204       ISSN = {1472-2747},

   205    MRCLASS = {57M27 (57R56)},

   206   MRNUMBER = {MR1928174 (2004d:57016)},

   207 MRREVIEWER = {Jacob Andrew Rasmussen},

   208     note   = {arXiv:\arxiv{math.GT/0103190}},

   209 }

   210 

   211 @article {MR2034399,

   212     AUTHOR = {Khovanov, Mikhail},

   213      TITLE = {Patterns in knot cohomology. {I}},

   214    JOURNAL = {Experiment. Math.},

   215   FJOURNAL = {Experimental Mathematics},

   216     VOLUME = {12},

   217       YEAR = {2003},

   218     NUMBER = {3},

   219      PAGES = {365--374},

   220       ISSN = {1058-6458},

   221    MRCLASS = {57M27 (18G60 57M25 57R56)},

   222   MRNUMBER = {MR2034399 (2004m:57022)},

   223 MRREVIEWER = {Jacob Andrew Rasmussen},

   224 }

   225 

   226 @article {MR2100691,

   227     AUTHOR = {Khovanov, Mikhail},

   228      TITLE = {sl(3) link homology},

   229    JOURNAL = {Algebr. Geom. Topol.},

   230   FJOURNAL = {Algebraic \& Geometric Topology},

   231     VOLUME = {4},

   232       YEAR = {2004},

   233      PAGES = {1045--1081 (electronic)},

   234       ISSN = {1472-2747},

   235    MRCLASS = {57M27 (18G60 57R56)},

   236   MRNUMBER = {MR2100691 (2005g:57032)},

   237 MRREVIEWER = {Justin Sawon},

   238       note = {arXiv:\arxiv{math.QA/0304375}},

   239 }

   240 

   241 @article {MR2124557,

   242     AUTHOR = {Khovanov, Mikhail},

   243      TITLE = {Categorifications of the colored {J}ones polynomial},

   244    JOURNAL = {J. Knot Theory Ramifications},

   245   FJOURNAL = {Journal of Knot Theory and its Ramifications},

   246     VOLUME = {14},

   247       YEAR = {2005},

   248     NUMBER = {1},

   249      PAGES = {111--130},

   250       ISSN = {0218-2165},

   251    MRCLASS = {57M27},

   252   MRNUMBER = {MR2124557 (2006a:57016)},

   253 MRREVIEWER = {Marta M. Asaeda},

   254 }

   255 

   256 @article {MR2171235,

   257     AUTHOR = {Khovanov, Mikhail},

   258      TITLE = {An invariant of tangle cobordisms},

   259    JOURNAL = {Trans. Amer. Math. Soc.},

   260   FJOURNAL = {Transactions of the American Mathematical Society},

   261     VOLUME = {358},

   262       YEAR = {2006},

   263     NUMBER = {1},

   264      PAGES = {315--327 (electronic)},

   265       ISSN = {0002-9947},

   266      CODEN = {TAMTAM},

   267    MRCLASS = {57Q45},

   268   MRNUMBER = {MR2171235},

   269       note = {arXiv:\arxiv{math.GT/0207264}},

   270 }

   271 

   272 @misc{math.QA/0401268,

   273     title = {{Matrix factorizations and link homology}},

   274     author = {Mikhail Khovanov and Lev Rozansky},

   275       note = {arXiv:\arxiv{math.QA/0401268}}}

   276 

   277 @misc{math.QA/0505056,

   278     title = {{Matrix factorizations and link homology II}},

   279     author = {Mikhail Khovanov and Lev Rozansky},

   280       note = {arXiv:\arxiv{math.QA/0505056}}}

   281 

   282 @incollection {MR2048108,

   283     AUTHOR = {Thurston, Dylan P.},

   284      TITLE = {The algebra of knotted trivalent graphs and {T}uraev's shadow

   285               world},

   286  BOOKTITLE = {Invariants of knots and 3-manifolds (Kyoto, 2001)},

   287     SERIES = {Geom. Topol. Monogr.},

   288     VOLUME = {4},

   289      PAGES = {337--362 (electronic)},

   290  PUBLISHER = {Geom. Topol. Publ., Coventry},

   291       YEAR = {2002},

   292    MRCLASS = {57M25 (57M15 57M20 57Q40)},

   293   MRNUMBER = {MR2048108 (2005c:57010)},

   294 MRREVIEWER = {Marko Kranjc},

   295       note = {arXiv:\arxiv{math.GT/0311458}},

   296 }

   297 

   298 @article {MR1403861,

   299     AUTHOR = {Kuperberg, Greg},

   300      TITLE = {Spiders for rank {$2$} {L}ie algebras},

   301    JOURNAL = {Comm. Math. Phys.},

   302   FJOURNAL = {Communications in Mathematical Physics},

   303     VOLUME = {180},

   304       YEAR = {1996},

   305     NUMBER = {1},

   306      PAGES = {109--151},

   307       ISSN = {0010-3616},

   308      CODEN = {CMPHAY},

   309    MRCLASS = {17B10 (22E60 81R05)},

   310   MRNUMBER = {MR1403861 (97f:17005)},

   311 MRREVIEWER = {Stefano Capparelli},

   312       note = {arXiv:\arxiv{q-alg/9712003}},

   313 }

   314 

   315 @misc{math.GT/0606318,

   316     title  = {{Fast Khovanov Homology Computations}},

   317     author = {Dror Bar-Natan},

   318     note   = {arXiv:\arxiv{math.GT/0606318}},

   319     url    = {http://www.math.toronto.edu/~drorbn/papers/FastKh/}

   320     }

   321 

   322 @misc{math.GT/0603347,

   323     title = {{On the Algebraic Structure of Bar-Natan's Universal

   324         Geometric Complex and the Geometric Structure of Khovanov

   325         Link Homology Theories}},

   326     author = {Gad Naot},

   327     note   = {arXiv:\arxiv{math.GT/0603347}}}

   328 

   329 @misc{math.QA/9909027,

   330     title = {{Planar algebras, I}},

   331     author = {Vaughan F. R. Jones},

   332     note   = {arXiv:\arxiv{math.QA/9909027}}}

   333 

   334 @article {MR1217386,

   335     AUTHOR = {Turaev, V. and Wenzl, H.},

   336      TITLE = {Quantum invariants of {$3$}-manifolds associated with

   337               classical simple {L}ie algebras},

   338    JOURNAL = {Internat. J. Math.},

   339   FJOURNAL = {International Journal of Mathematics},

   340     VOLUME = {4},

   341       YEAR = {1993},

   342     NUMBER = {2},

   343      PAGES = {323--358},

   344       ISSN = {0129-167X},

   345    MRCLASS = {57M25 (17B37 57N10)},

   346   MRNUMBER = {MR1217386 (94i:57019)},

   347 MRREVIEWER = {Toshitake Kohno},

   348 }

   349 

   350 @article {MR1470857,

   351     AUTHOR = {Wenzl, Hans},

   352      TITLE = {{$C\sp *$} tensor categories from quantum groups},

   353    JOURNAL = {J. Amer. Math. Soc.},

   354   FJOURNAL = {Journal of the American Mathematical Society},

   355     VOLUME = {11},

   356       YEAR = {1998},

   357     NUMBER = {2},

   358      PAGES = {261--282},

   359       ISSN = {0894-0347},

   360    MRCLASS = {46L89 (17B37 46L05)},

   361   MRNUMBER = {MR1470857 (98k:46123)},

   362 MRREVIEWER = {Andrzej Sitarz},

   363     eprint = {\url{http://ftp.ams.org/jams/1998-11-02/S0894-0347-98-00253-7/S0894-0347-98-00253-7.pdf}},

   364 }

   365 

   366 @misc{math.GT/0603307,

   367     title  = {{The universal sl3-link homology}},

   368     author = {Marco Mackaay and Pedro Vaz},

   369     note  = {arXiv:\arxiv{math.GT/0603307}}}

   370 

   371  @misc{wiki:Grothendieck-group,

   372    author = "Wikipedia",

   373    title = "Grothendieck group --- Wikipedia{,} The Free Encyclopedia",

   374    year = "2006",

   375    note = "[\href{http://en.wikipedia.org/w/index.php?title=Grothendieck_group&oldid=52451663}{Online}; accessed 30-June-2006]"

   376  }

   377 

   378  @misc{wiki:Invariant-basis-number,

   379    author = "Wikipedia",

   380    title = "Invariant basis number --- Wikipedia{,} The Free Encyclopedia",

   381    year = "2006",

   382    note = "[\href{http://en.wikipedia.org/w/index.php?title=Invariant_basis_number&oldid=85220456}{Online}; accessed 24-December-2006]"

   383  }

   384 

   385 @article {MR1403351,

   386     AUTHOR = {Etingof, Pavel and Kazhdan, David},

   387      TITLE = {Quantization of {L}ie bialgebras. {I}},

   388    JOURNAL = {Selecta Math. (N.S.)},

   389   FJOURNAL = {Selecta Mathematica. New Series},

   390     VOLUME = {2},

   391       YEAR = {1996},

   392     NUMBER = {1},

   393      PAGES = {1--41},

   394       ISSN = {1022-1824},

   395      CODEN = {SMATF6},

   396    MRCLASS = {17B37 (16W30 18D20 81R50)},

   397   MRNUMBER = {MR1403351 (97f:17014)},

   398 MRREVIEWER = {Yu. N. Bespalov},

   399 }

   400 

   401 @article {MR1669953,

   402     AUTHOR = {Etingof, Pavel and Kazhdan, David},

   403      TITLE = {Quantization of {L}ie bialgebras. {II}},

   404    JOURNAL = {Selecta Math. (N.S.)},

   405   FJOURNAL = {Selecta Mathematica. New Series},

   406     VOLUME = {4},

   407       YEAR = {1998},

   408     NUMBER = {2},

   409      PAGES = {213--231, 233--269},

   410       ISSN = {1022-1824},

   411      CODEN = {SMATF6},

   412    MRCLASS = {17B62 (16W35 17B37 18D20)},

   413   MRNUMBER = {MR1669953 (2000i:17033)},

   414 MRREVIEWER = {Benjamin David Enriquez},

   415       note = {arXiv:\arxiv{q-alg/9701038}},

   416 }

   417 

   418 @article {MR1771217,

   419     AUTHOR = {Etingof, Pavel and Kazhdan, David},

   420      TITLE = {Quantization of {L}ie bialgebras. {IV}. {T}he coinvariant

   421               construction and the quantum {KZ} equations},

   422    JOURNAL = {Selecta Math. (N.S.)},

   423   FJOURNAL = {Selecta Mathematica. New Series},

   424     VOLUME = {6},

   425       YEAR = {2000},

   426     NUMBER = {1},

   427      PAGES = {79--104},

   428       ISSN = {1022-1824},

   429      CODEN = {SMATF6},

   430    MRCLASS = {17B37 (32G34 81R50)},

   431   MRNUMBER = {MR1771217 (2002i:17021)},

   432 }

   433 

   434 @article {MR1771218,

   435     AUTHOR = {Etingof, Pavel and Kazhdan, David},

   436      TITLE = {Quantization of {L}ie bialgebras. {V}. {Q}uantum vertex

   437               operator algebras},

   438    JOURNAL = {Selecta Math. (N.S.)},

   439   FJOURNAL = {Selecta Mathematica. New Series},

   440     VOLUME = {6},

   441       YEAR = {2000},

   442     NUMBER = {1},

   443      PAGES = {105--130},

   444       ISSN = {1022-1824},

   445      CODEN = {SMATF6},

   446    MRCLASS = {17B37 (17B69 81R50)},

   447   MRNUMBER = {MR1771218 (2002i:17022)},

   448 }

   449 

   450 @article {MR2253455,

   451     AUTHOR = {Bar-Natan, Dror and Morrison, Scott},

   452      TITLE = {The {K}aroubi envelope and {L}ee's degeneration of {K}hovanov

   453               homology},

   454    JOURNAL = {Algebr. Geom. Topol.},

   455   FJOURNAL = {Algebraic \& Geometric Topology},

   456     VOLUME = {6},

   457       YEAR = {2006},

   458      PAGES = {1459--1469 (electronic)},

   459       ISSN = {1472-2747},

   460    MRCLASS = {57M27 (18E05 57M25)},

   461   MRNUMBER = {MR2253455},

   462       note = {arXiv:\arxiv{math.GT/0606542}},

   463 }

   464 

   465 

   466 @article{math.GT/0206303,

   467     title = {{An invariant of link cobordisms from Khovanov homology}},

   468     author = {Magnus Jacobsson},

   469     journal = {Algebr. Geom. Topol.},

   470     volume = 4,

   471     year = 2004,

   472     pages = {1211--1251},

   473     note = {arXiv:\arxiv{math.GT/0206303}}}

   474 

   475 @misc{math.GT/0610650,

   476     title = {{Khovanov-Rozansky homology via a canopolis formalism}},

   477     author = {Ben Webster},

   478       note = {arXiv:\arxiv{math.GT/0610650}}}

   479 

   480 @misc{green-implementation,

   481     title = {{JavaKh}},

   482     author= {Jeremey Green},

   483     note = {\url{http://katlas.math.toronto.edu/wiki/Khovanov_Homology}},

   484 }

   485 

   486 @misc{ortiz-navarro,

   487     title = {{Khovanov Homology and Reidemeister Torsion}},

   488     author ={Juan Ariel Ortiz-Navarro and Chris Truman},

   489     note = {a talk at the 2006 Toronto CMS meeting, slides at \url{http://www.math.uiowa.edu/~jortizna/Present-CMS-06.pdf}},

   490 }

   491 

   492 @book {MR1438306,

   493     AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.},

   494      TITLE = {Methods of homological algebra},

   495       NOTE = {Translated from the 1988 Russian original},

   496  PUBLISHER = {Springer-Verlag},

   497    ADDRESS = {Berlin},

   498       YEAR = {1996},

   499      PAGES = {xviii+372},

   500       ISBN = {3-540-54746-0},

   501    MRCLASS = {18-02 (18Exx 18Gxx 55U35)},

   502   MRNUMBER = {MR1438306 (97j:18001)},

   503 }

   504 

   505 @article {MR1624157,

   506     AUTHOR = {Bullock, Doug and Frohman, Charles and Kania-Bartoszy{\'n}ska,

   507               Joanna},

   508      TITLE = {Skein homology},

   509    JOURNAL = {Canad. Math. Bull.},

   510   FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de

   511               Math\'ematiques},

   512     VOLUME = {41},

   513       YEAR = {1998},

   514     NUMBER = {2},

   515      PAGES = {140--144},

   516       ISSN = {0008-4395},

   517      CODEN = {CMBUA3},

   518    MRCLASS = {57M25 (55N35)},

   519   MRNUMBER = {MR1624157 (99g:57006)},

   520 MRREVIEWER = {Daniel Ruberman},

   521  note = {\arxiv{q-alg/9701019} \mathscinet{MR1624157}},

   522 }

   523