@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}}
%S! fix this citation!
@article{morrison-walker,
AUTHOR = {David Clark and Scott Morrison and Kevin Walker},
TITLE = {Fixing the functoriality of Khovanov homology},
note = {\arxiv{math.GT/0701339}},
}
@misc{kw:tqft,
AUTHOR = {Walker, Kevin},
TITLE = {Topological Quantum Field Theories},
note = {draft available at \url{http://canyon23.net/math/tc.pdf}},
}
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AUTHOR = {Keller, Bernhard},
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YEAR = {2001},
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ISSN = {1512-0139},
MRCLASS = {18E30 (18D50 18G40 55P43 55U35)},
MRNUMBER = {MR1854636 (2004a:18008a)},
MRREVIEWER = {Ulrike Tillmann},
note = {\mathscinet{MR1854636} \arxiv{math.RA/9910179}},
}
@incollection {MR2061854,
AUTHOR = {McClure, James E. and Smith, Jeffrey H.},
TITLE = {Operads and cosimplicial objects: an introduction},
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MRNUMBER = {MR2061854 (2005b:55018)},
MRREVIEWER = {David Chataur},
note = {\mathscinet{MR2061854} \arxiv{math.QA/0402117}},
}
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note = {Lectures Notes in Mathematics, Vol. 271 \mathscinet{MR0420610} \href{http://www.math.uchicago.edu/~may/BOOKS/gils.pdf}{available online}},
}
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note = {\mathscinet{MR0236922} \doi{10.1090/S0002-9904-1968-12070-1}},
}
@book {MR0420609,
AUTHOR = {Boardman, J. M. and Vogt, R. M.},
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PUBLISHER = {Springer-Verlag},
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YEAR = {1973},
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MRCLASS = {55D35},
MRNUMBER = {MR0420609 (54 \#8623a)},
MRREVIEWER = {J. Stasheff},
note = {\mathscinet{MR0420609}},
}
%The framed little discs operad:
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AUTHOR = {Getzler, E.},
TITLE = {Batalin-{V}ilkovisky algebras and two-dimensional topological
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MRCLASS = {81T70 (17B81 55Q99 58Z05 81T40)},
MRNUMBER = {MR1256989 (95h:81099)},
MRREVIEWER = {J. Stasheff},
note = {\mathscinet{MR1256989} \euclid{1104254599}},
}
@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},
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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},
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JOURNAL = {Pacific J. Math.},
FJOURNAL = {Pacific Journal of Mathematics},
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YEAR = {1999},
NUMBER = {1},
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CODEN = {PJMAAI},
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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},
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YEAR = {2000},
NUMBER = {3},
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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}},
}
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AUTHOR = {Kuperberg, Greg},
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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
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YEAR = {1993},
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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.},
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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}},
}
@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)},
}
@article {MR1624157,
AUTHOR = {Bullock, Doug and Frohman, Charles and Kania-Bartoszy{\'n}ska,
Joanna},
TITLE = {Skein homology},
JOURNAL = {Canad. Math. Bull.},
FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
Math\'ematiques},
VOLUME = {41},
YEAR = {1998},
NUMBER = {2},
PAGES = {140--144},
ISSN = {0008-4395},
CODEN = {CMBUA3},
MRCLASS = {57M25 (55N35)},
MRNUMBER = {MR1624157 (99g:57006)},
MRREVIEWER = {Daniel Ruberman},
note = {\arxiv{q-alg/9701019} \mathscinet{MR1624157}},
}