# HG changeset patch # User scott@6e1638ff-ae45-0410-89bd-df963105f760 # Date 1256766113 0 # Node ID b5c1a6aec50d8225b737d12c93171a4a1e373643 # Parent 48b246f6a7ad180905fdfdcb92492079eedd36ff ... diff -r 48b246f6a7ad -r b5c1a6aec50d bibliography/bibliography.bib --- a/bibliography/bibliography.bib Wed Oct 28 21:18:55 2009 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,523 +0,0 @@ -@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}}, -} - diff -r 48b246f6a7ad -r b5c1a6aec50d text/intro.tex --- a/text/intro.tex Wed Oct 28 21:18:55 2009 +0000 +++ b/text/intro.tex Wed Oct 28 21:41:53 2009 +0000 @@ -207,7 +207,7 @@ -\begin{property}[Relation to mapping spaces] +\begin{property}[Mapping spaces] Let $\pi^\infty_{\le n}(W)$ denote the $A_\infty$ $n$-category based on maps $B^n \to W$. (The case $n=1$ is the usual $A_\infty$ category of paths in $W$.) diff -r 48b246f6a7ad -r b5c1a6aec50d text/ncat.tex --- a/text/ncat.tex Wed Oct 28 21:18:55 2009 +0000 +++ b/text/ncat.tex Wed Oct 28 21:41:53 2009 +0000 @@ -39,7 +39,7 @@ a separate set of 2-morphisms for each rectangle $[0,l_1]\times [0,l_2] \sub \r^2$, and so on. (This allows for strict associativity.) -Still other definitions \nn{need refs for all these; maybe the Leinster book} +Still other definitions \nn{need refs for all these; maybe the Leinster book \cite{MR2094071}} model the $k$-morphisms on more complicated combinatorial polyhedra. We will allow our $k$-morphisms to have any shape, so long as it is homeomorphic to