diff -r 4ef2f77a4652 -r 15e6335ff1d4 bibliography/bibliography.bib --- /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)}, +}