--- a/bibliography/bibliography.bib Tue May 05 17:27:21 2009 +0000
+++ b/bibliography/bibliography.bib Sun May 24 20:30:45 2009 +0000
@@ -1,503 +1,523 @@
-@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}},
-}
-
-@article {MR1854636,
- AUTHOR = {Keller, Bernhard},
- TITLE = {Introduction to {$A$}-infinity algebras and modules},
- JOURNAL = {Homology Homotopy Appl.},
- FJOURNAL = {Homology, Homotopy and Applications},
- VOLUME = {3},
- YEAR = {2001},
- NUMBER = {1},
- PAGES = {1--35 (electronic)},
- 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},
- BOOKTITLE = {Axiomatic, enriched and motivic homotopy theory},
- SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},
- VOLUME = {131},
- PAGES = {133--171},
- PUBLISHER = {Kluwer Acad. Publ.},
- ADDRESS = {Dordrecht},
- YEAR = {2004},
- MRCLASS = {55P48 (18D50)},
- MRNUMBER = {MR2061854 (2005b:55018)},
-MRREVIEWER = {David Chataur},
- note = {\mathscinet{MR2061854} \arxiv{math.QA/0402117}},
-}
-
-@book {MR0420610,
- AUTHOR = {May, J. P.},
- TITLE = {The geometry of iterated loop spaces},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1972},
- PAGES = {viii+175},
- MRCLASS = {55D35},
- MRNUMBER = {MR0420610 (54 \#8623b)},
-MRREVIEWER = {J. Stasheff},
- note = {Lectures Notes in Mathematics, Vol. 271 \mathscinet{MR0420610} \href{http://www.math.uchicago.edu/~may/BOOKS/gils.pdf}{available online}},
-}
-
-@article {MR0236922,
- AUTHOR = {Boardman, J. M. and Vogt, R. M.},
- TITLE = {Homotopy-everything {$H$}-spaces},
- JOURNAL = {Bull. Amer. Math. Soc.},
- FJOURNAL = {Bulletin of the American Mathematical Society},
- VOLUME = {74},
- YEAR = {1968},
- PAGES = {1117--1122},
- ISSN = {0002-9904},
- MRCLASS = {55.42},
- MRNUMBER = {MR0236922 (38 \#5215)},
-MRREVIEWER = {R. J. Milgram},
- note = {\mathscinet{MR0236922} \doi{10.1090/S0002-9904-1968-12070-1}},
-}
-
-@book {MR0420609,
- AUTHOR = {Boardman, J. M. and Vogt, R. M.},
- TITLE = {Homotopy invariant algebraic structures on topological spaces},
- SERIES = {Lecture Notes in Mathematics, Vol. 347},
- PUBLISHER = {Springer-Verlag},
- ADDRESS = {Berlin},
- YEAR = {1973},
- PAGES = {x+257},
- MRCLASS = {55D35},
- MRNUMBER = {MR0420609 (54 \#8623a)},
-MRREVIEWER = {J. Stasheff},
- note = {\mathscinet{MR0420609}},
-}
-
-%The framed little discs operad:
-@article {MR1256989,
- AUTHOR = {Getzler, E.},
- TITLE = {Batalin-{V}ilkovisky algebras and two-dimensional topological
- field theories},
- JOURNAL = {Comm. Math. Phys.},
- FJOURNAL = {Communications in Mathematical Physics},
- VOLUME = {159},
- YEAR = {1994},
- NUMBER = {2},
- PAGES = {265--285},
- ISSN = {0010-3616},
- CODEN = {CMPHAY},
- 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},
- 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}},
-}
-
-
-@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)},
-}
+@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}},
+}
+
+@article {MR1854636,
+ AUTHOR = {Keller, Bernhard},
+ TITLE = {Introduction to {$A$}-infinity algebras and modules},
+ JOURNAL = {Homology Homotopy Appl.},
+ FJOURNAL = {Homology, Homotopy and Applications},
+ VOLUME = {3},
+ YEAR = {2001},
+ NUMBER = {1},
+ PAGES = {1--35 (electronic)},
+ 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},
+ BOOKTITLE = {Axiomatic, enriched and motivic homotopy theory},
+ SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},
+ VOLUME = {131},
+ PAGES = {133--171},
+ PUBLISHER = {Kluwer Acad. Publ.},
+ ADDRESS = {Dordrecht},
+ YEAR = {2004},
+ MRCLASS = {55P48 (18D50)},
+ MRNUMBER = {MR2061854 (2005b:55018)},
+MRREVIEWER = {David Chataur},
+ note = {\mathscinet{MR2061854} \arxiv{math.QA/0402117}},
+}
+
+@book {MR0420610,
+ AUTHOR = {May, J. P.},
+ TITLE = {The geometry of iterated loop spaces},
+ PUBLISHER = {Springer-Verlag},
+ ADDRESS = {Berlin},
+ YEAR = {1972},
+ PAGES = {viii+175},
+ MRCLASS = {55D35},
+ MRNUMBER = {MR0420610 (54 \#8623b)},
+MRREVIEWER = {J. Stasheff},
+ note = {Lectures Notes in Mathematics, Vol. 271 \mathscinet{MR0420610} \href{http://www.math.uchicago.edu/~may/BOOKS/gils.pdf}{available online}},
+}
+
+@article {MR0236922,
+ AUTHOR = {Boardman, J. M. and Vogt, R. M.},
+ TITLE = {Homotopy-everything {$H$}-spaces},
+ JOURNAL = {Bull. Amer. Math. Soc.},
+ FJOURNAL = {Bulletin of the American Mathematical Society},
+ VOLUME = {74},
+ YEAR = {1968},
+ PAGES = {1117--1122},
+ ISSN = {0002-9904},
+ MRCLASS = {55.42},
+ MRNUMBER = {MR0236922 (38 \#5215)},
+MRREVIEWER = {R. J. Milgram},
+ note = {\mathscinet{MR0236922} \doi{10.1090/S0002-9904-1968-12070-1}},
+}
+
+@book {MR0420609,
+ AUTHOR = {Boardman, J. M. and Vogt, R. M.},
+ TITLE = {Homotopy invariant algebraic structures on topological spaces},
+ SERIES = {Lecture Notes in Mathematics, Vol. 347},
+ PUBLISHER = {Springer-Verlag},
+ ADDRESS = {Berlin},
+ YEAR = {1973},
+ PAGES = {x+257},
+ MRCLASS = {55D35},
+ MRNUMBER = {MR0420609 (54 \#8623a)},
+MRREVIEWER = {J. Stasheff},
+ note = {\mathscinet{MR0420609}},
+}
+
+%The framed little discs operad:
+@article {MR1256989,
+ AUTHOR = {Getzler, E.},
+ TITLE = {Batalin-{V}ilkovisky algebras and two-dimensional topological
+ field theories},
+ JOURNAL = {Comm. Math. Phys.},
+ FJOURNAL = {Communications in Mathematical Physics},
+ VOLUME = {159},
+ YEAR = {1994},
+ NUMBER = {2},
+ PAGES = {265--285},
+ ISSN = {0010-3616},
+ CODEN = {CMPHAY},
+ 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},
+ 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}},
+}
+
+
+@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}},
+}
+