--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/bibliography/bibliography.bib Thu Apr 24 02:56:34 2008 +0000
@@ -0,0 +1,405 @@
+@PREAMBLE{ "\newcommand{\noopsort}[1]{}" }
+
+@STRING{CUP = {Cambridge University Press}}
+@STRING{OUP = {Oxford University Press}}
+@STRING{PUP = {Princeton University Press}}
+@STRING{SV = {Springer-Verlag}}
+@STRING{AP = {Academic Press}}
+@STRING{AMS = {American Mathematical Society}}
+
+@article {MR1917056,
+ AUTHOR = {Bar-Natan, Dror},
+ TITLE = {On {K}hovanov's categorification of the {J}ones polynomial},
+ JOURNAL = {Algebr. Geom. Topol.},
+ FJOURNAL = {Algebraic \& Geometric Topology},
+ VOLUME = {2},
+ YEAR = {2002},
+ PAGES = {337--370 (electronic)},
+ ISSN = {1472-2747},
+ MRCLASS = {57M27},
+ MRNUMBER = {MR1917056 (2003h:57014)},
+MRREVIEWER = {Jacob Andrew Rasmussen},
+ note = {arXiv:\arxiv{math.QA/0201043}},
+}
+
+@incollection {MR2147420,
+ AUTHOR = {Bar-Natan, Dror},
+ TITLE = {Khovanov homology for knots and links with up to 11 crossings},
+ BOOKTITLE = {Advances in topological quantum field theory},
+ SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},
+ VOLUME = {179},
+ PAGES = {167--241},
+ PUBLISHER = {Kluwer Acad. Publ.},
+ ADDRESS = {Dordrecht},
+ YEAR = {2004},
+ MRCLASS = {57M27},
+ MRNUMBER = {MR2147420 (2006c:57009)},
+MRREVIEWER = {Marta M. Asaeda},
+}
+
+@article {MR2174270,
+ AUTHOR = {Bar-Natan, Dror},
+ TITLE = {Khovanov's homology for tangles and cobordisms},
+ JOURNAL = {Geom. Topol.},
+ FJOURNAL = {Geometry and Topology},
+ VOLUME = {9},
+ YEAR = {2005},
+ PAGES = {1443--1499 (electronic)},
+ ISSN = {1465-3060},
+ MRCLASS = {57M27 (57M25)},
+ MRNUMBER = {MR2174270},
+ note = {arXiv:\arxiv{math.GT/0410495}},
+}
+
+@article {MR1680395,
+ AUTHOR = {Khovanov, Mikhail and Kuperberg, Greg},
+ TITLE = {Web bases for {${\rm sl}(3)$} are not dual canonical},
+ JOURNAL = {Pacific J. Math.},
+ FJOURNAL = {Pacific Journal of Mathematics},
+ VOLUME = {188},
+ YEAR = {1999},
+ NUMBER = {1},
+ PAGES = {129--153},
+ ISSN = {0030-8730},
+ CODEN = {PJMAAI},
+ MRCLASS = {17B37 (22E60 57M27 81R05)},
+ MRNUMBER = {MR1680395 (2000j:17023a)},
+MRREVIEWER = {Robert J. Marsh},
+ note = {arXiv:\arxiv{q-alg/9712046}},
+}
+
+@article {MR1740682,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {A categorification of the {J}ones polynomial},
+ JOURNAL = {Duke Math. J.},
+ FJOURNAL = {Duke Mathematical Journal},
+ VOLUME = {101},
+ YEAR = {2000},
+ NUMBER = {3},
+ PAGES = {359--426},
+ ISSN = {0012-7094},
+ CODEN = {DUMJAO},
+ MRCLASS = {57M27 (57R56)},
+ MRNUMBER = {MR1740682 (2002j:57025)},
+}
+
+@article {MR1928174,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {A functor-valued invariant of tangles},
+ JOURNAL = {Algebr. Geom. Topol.},
+ FJOURNAL = {Algebraic \& Geometric Topology},
+ VOLUME = {2},
+ YEAR = {2002},
+ PAGES = {665--741 (electronic)},
+ ISSN = {1472-2747},
+ MRCLASS = {57M27 (57R56)},
+ MRNUMBER = {MR1928174 (2004d:57016)},
+MRREVIEWER = {Jacob Andrew Rasmussen},
+ note = {arXiv:\arxiv{math.GT/0103190}},
+}
+
+@article {MR2034399,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {Patterns in knot cohomology. {I}},
+ JOURNAL = {Experiment. Math.},
+ FJOURNAL = {Experimental Mathematics},
+ VOLUME = {12},
+ YEAR = {2003},
+ NUMBER = {3},
+ PAGES = {365--374},
+ ISSN = {1058-6458},
+ MRCLASS = {57M27 (18G60 57M25 57R56)},
+ MRNUMBER = {MR2034399 (2004m:57022)},
+MRREVIEWER = {Jacob Andrew Rasmussen},
+}
+
+@article {MR2100691,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {sl(3) link homology},
+ JOURNAL = {Algebr. Geom. Topol.},
+ FJOURNAL = {Algebraic \& Geometric Topology},
+ VOLUME = {4},
+ YEAR = {2004},
+ PAGES = {1045--1081 (electronic)},
+ ISSN = {1472-2747},
+ MRCLASS = {57M27 (18G60 57R56)},
+ MRNUMBER = {MR2100691 (2005g:57032)},
+MRREVIEWER = {Justin Sawon},
+ note = {arXiv:\arxiv{math.QA/0304375}},
+}
+
+@article {MR2124557,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {Categorifications of the colored {J}ones polynomial},
+ JOURNAL = {J. Knot Theory Ramifications},
+ FJOURNAL = {Journal of Knot Theory and its Ramifications},
+ VOLUME = {14},
+ YEAR = {2005},
+ NUMBER = {1},
+ PAGES = {111--130},
+ ISSN = {0218-2165},
+ MRCLASS = {57M27},
+ MRNUMBER = {MR2124557 (2006a:57016)},
+MRREVIEWER = {Marta M. Asaeda},
+}
+
+@article {MR2171235,
+ AUTHOR = {Khovanov, Mikhail},
+ TITLE = {An invariant of tangle cobordisms},
+ JOURNAL = {Trans. Amer. Math. Soc.},
+ FJOURNAL = {Transactions of the American Mathematical Society},
+ VOLUME = {358},
+ YEAR = {2006},
+ NUMBER = {1},
+ PAGES = {315--327 (electronic)},
+ ISSN = {0002-9947},
+ CODEN = {TAMTAM},
+ MRCLASS = {57Q45},
+ MRNUMBER = {MR2171235},
+ note = {arXiv:\arxiv{math.GT/0207264}},
+}
+
+@misc{math.QA/0401268,
+ title = {{Matrix factorizations and link homology}},
+ author = {Mikhail Khovanov and Lev Rozansky},
+ note = {arXiv:\arxiv{math.QA/0401268}}}
+
+@misc{math.QA/0505056,
+ title = {{Matrix factorizations and link homology II}},
+ author = {Mikhail Khovanov and Lev Rozansky},
+ note = {arXiv:\arxiv{math.QA/0505056}}}
+
+@incollection {MR2048108,
+ AUTHOR = {Thurston, Dylan P.},
+ TITLE = {The algebra of knotted trivalent graphs and {T}uraev's shadow
+ world},
+ BOOKTITLE = {Invariants of knots and 3-manifolds (Kyoto, 2001)},
+ SERIES = {Geom. Topol. Monogr.},
+ VOLUME = {4},
+ PAGES = {337--362 (electronic)},
+ PUBLISHER = {Geom. Topol. Publ., Coventry},
+ YEAR = {2002},
+ MRCLASS = {57M25 (57M15 57M20 57Q40)},
+ MRNUMBER = {MR2048108 (2005c:57010)},
+MRREVIEWER = {Marko Kranjc},
+ note = {arXiv:\arxiv{math.GT/0311458}},
+}
+
+@article {MR1403861,
+ AUTHOR = {Kuperberg, Greg},
+ TITLE = {Spiders for rank {$2$} {L}ie algebras},
+ JOURNAL = {Comm. Math. Phys.},
+ FJOURNAL = {Communications in Mathematical Physics},
+ VOLUME = {180},
+ YEAR = {1996},
+ NUMBER = {1},
+ PAGES = {109--151},
+ ISSN = {0010-3616},
+ CODEN = {CMPHAY},
+ MRCLASS = {17B10 (22E60 81R05)},
+ MRNUMBER = {MR1403861 (97f:17005)},
+MRREVIEWER = {Stefano Capparelli},
+ note = {arXiv:\arxiv{q-alg/9712003}},
+}
+
+@misc{math.GT/0606318,
+ title = {{Fast Khovanov Homology Computations}},
+ author = {Dror Bar-Natan},
+ note = {arXiv:\arxiv{math.GT/0606318}},
+ url = {http://www.math.toronto.edu/~drorbn/papers/FastKh/}
+ }
+
+@misc{math.GT/0603347,
+ title = {{On the Algebraic Structure of Bar-Natan's Universal
+ Geometric Complex and the Geometric Structure of Khovanov
+ Link Homology Theories}},
+ author = {Gad Naot},
+ note = {arXiv:\arxiv{math.GT/0603347}}}
+
+@misc{math.QA/9909027,
+ title = {{Planar algebras, I}},
+ author = {Vaughan F. R. Jones},
+ note = {arXiv:\arxiv{math.QA/9909027}}}
+
+@article {MR1217386,
+ AUTHOR = {Turaev, V. and Wenzl, H.},
+ TITLE = {Quantum invariants of {$3$}-manifolds associated with
+ classical simple {L}ie algebras},
+ JOURNAL = {Internat. J. Math.},
+ FJOURNAL = {International Journal of Mathematics},
+ VOLUME = {4},
+ YEAR = {1993},
+ NUMBER = {2},
+ PAGES = {323--358},
+ ISSN = {0129-167X},
+ MRCLASS = {57M25 (17B37 57N10)},
+ MRNUMBER = {MR1217386 (94i:57019)},
+MRREVIEWER = {Toshitake Kohno},
+}
+
+@article {MR1470857,
+ AUTHOR = {Wenzl, Hans},
+ TITLE = {{$C\sp *$} tensor categories from quantum groups},
+ JOURNAL = {J. Amer. Math. Soc.},
+ FJOURNAL = {Journal of the American Mathematical Society},
+ VOLUME = {11},
+ YEAR = {1998},
+ NUMBER = {2},
+ PAGES = {261--282},
+ ISSN = {0894-0347},
+ MRCLASS = {46L89 (17B37 46L05)},
+ MRNUMBER = {MR1470857 (98k:46123)},
+MRREVIEWER = {Andrzej Sitarz},
+ eprint = {\url{http://ftp.ams.org/jams/1998-11-02/S0894-0347-98-00253-7/S0894-0347-98-00253-7.pdf}},
+}
+
+@misc{math.GT/0603307,
+ title = {{The universal sl3-link homology}},
+ author = {Marco Mackaay and Pedro Vaz},
+ note = {arXiv:\arxiv{math.GT/0603307}}}
+
+ @misc{wiki:Grothendieck-group,
+ author = "Wikipedia",
+ title = "Grothendieck group --- Wikipedia{,} The Free Encyclopedia",
+ year = "2006",
+ note = "[\href{http://en.wikipedia.org/w/index.php?title=Grothendieck_group&oldid=52451663}{Online}; accessed 30-June-2006]"
+ }
+
+ @misc{wiki:Invariant-basis-number,
+ author = "Wikipedia",
+ title = "Invariant basis number --- Wikipedia{,} The Free Encyclopedia",
+ year = "2006",
+ note = "[\href{http://en.wikipedia.org/w/index.php?title=Invariant_basis_number&oldid=85220456}{Online}; accessed 24-December-2006]"
+ }
+
+@article {MR1403351,
+ AUTHOR = {Etingof, Pavel and Kazhdan, David},
+ TITLE = {Quantization of {L}ie bialgebras. {I}},
+ JOURNAL = {Selecta Math. (N.S.)},
+ FJOURNAL = {Selecta Mathematica. New Series},
+ VOLUME = {2},
+ YEAR = {1996},
+ NUMBER = {1},
+ PAGES = {1--41},
+ ISSN = {1022-1824},
+ CODEN = {SMATF6},
+ MRCLASS = {17B37 (16W30 18D20 81R50)},
+ MRNUMBER = {MR1403351 (97f:17014)},
+MRREVIEWER = {Yu. N. Bespalov},
+}
+
+@article {MR1669953,
+ AUTHOR = {Etingof, Pavel and Kazhdan, David},
+ TITLE = {Quantization of {L}ie bialgebras. {II}},
+ JOURNAL = {Selecta Math. (N.S.)},
+ FJOURNAL = {Selecta Mathematica. New Series},
+ VOLUME = {4},
+ YEAR = {1998},
+ NUMBER = {2},
+ PAGES = {213--231, 233--269},
+ ISSN = {1022-1824},
+ CODEN = {SMATF6},
+ MRCLASS = {17B62 (16W35 17B37 18D20)},
+ MRNUMBER = {MR1669953 (2000i:17033)},
+MRREVIEWER = {Benjamin David Enriquez},
+ note = {arXiv:\arxiv{q-alg/9701038}},
+}
+
+@article {MR1771217,
+ AUTHOR = {Etingof, Pavel and Kazhdan, David},
+ TITLE = {Quantization of {L}ie bialgebras. {IV}. {T}he coinvariant
+ construction and the quantum {KZ} equations},
+ JOURNAL = {Selecta Math. (N.S.)},
+ FJOURNAL = {Selecta Mathematica. New Series},
+ VOLUME = {6},
+ YEAR = {2000},
+ NUMBER = {1},
+ PAGES = {79--104},
+ ISSN = {1022-1824},
+ CODEN = {SMATF6},
+ MRCLASS = {17B37 (32G34 81R50)},
+ MRNUMBER = {MR1771217 (2002i:17021)},
+}
+
+@article {MR1771218,
+ AUTHOR = {Etingof, Pavel and Kazhdan, David},
+ TITLE = {Quantization of {L}ie bialgebras. {V}. {Q}uantum vertex
+ operator algebras},
+ JOURNAL = {Selecta Math. (N.S.)},
+ FJOURNAL = {Selecta Mathematica. New Series},
+ VOLUME = {6},
+ YEAR = {2000},
+ NUMBER = {1},
+ PAGES = {105--130},
+ ISSN = {1022-1824},
+ CODEN = {SMATF6},
+ MRCLASS = {17B37 (17B69 81R50)},
+ MRNUMBER = {MR1771218 (2002i:17022)},
+}
+
+@article {MR2253455,
+ AUTHOR = {Bar-Natan, Dror and Morrison, Scott},
+ TITLE = {The {K}aroubi envelope and {L}ee's degeneration of {K}hovanov
+ homology},
+ JOURNAL = {Algebr. Geom. Topol.},
+ FJOURNAL = {Algebraic \& Geometric Topology},
+ VOLUME = {6},
+ YEAR = {2006},
+ PAGES = {1459--1469 (electronic)},
+ ISSN = {1472-2747},
+ MRCLASS = {57M27 (18E05 57M25)},
+ MRNUMBER = {MR2253455},
+ note = {arXiv:\arxiv{math.GT/0606542}},
+}
+
+%S! fix this citation!
+@article{morrison-walker,
+ AUTHOR = {Scott Morrison and Kevin Walker},
+ TITLE = {Fixing the functoriality of Khovanov homology},
+ note = {\url{http://scott-morrison.org/functoriality}},
+}
+
+@misc{kw:tqft,
+ AUTHOR = {Walker, Kevin},
+ TITLE = {Topological Quantum Field Theories},
+ URL = {http://canyon23.net/math/tc.pdf},
+}
+
+@article{math.GT/0206303,
+ title = {{An invariant of link cobordisms from Khovanov homology}},
+ author = {Magnus Jacobsson},
+ journal = {Algebr. Geom. Topol.},
+ volume = 4,
+ year = 2004,
+ pages = {1211--1251},
+ note = {arXiv:\arxiv{math.GT/0206303}}}
+
+@misc{math.GT/0610650,
+ title = {{Khovanov-Rozansky homology via a canopolis formalism}},
+ author = {Ben Webster},
+ note = {arXiv:\arxiv{math.GT/0610650}}}
+
+@misc{green-implementation,
+ title = {{JavaKh}},
+ author= {Jeremey Green},
+ note = {\url{http://katlas.math.toronto.edu/wiki/Khovanov_Homology}},
+}
+
+@misc{ortiz-navarro,
+ title = {{Khovanov Homology and Reidemeister Torsion}},
+ author ={Juan Ariel Ortiz-Navarro and Chris Truman},
+ note = {a talk at the 2006 Toronto CMS meeting, slides at \url{http://www.math.uiowa.edu/~jortizna/Present-CMS-06.pdf}},
+}
+
+@book {MR1438306,
+ AUTHOR = {Gelfand, Sergei I. and Manin, Yuri I.},
+ TITLE = {Methods of homological algebra},
+ NOTE = {Translated from the 1988 Russian original},
+ PUBLISHER = {Springer-Verlag},
+ ADDRESS = {Berlin},
+ YEAR = {1996},
+ PAGES = {xviii+372},
+ ISBN = {3-540-54746-0},
+ MRCLASS = {18-02 (18Exx 18Gxx 55U35)},
+ MRNUMBER = {MR1438306 (97j:18001)},
+}