Geometry & Topology Volume 13, issue 3 (2009)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Fixing the functoriality of Khovanov homology

David Clark, Scott Morrison and Kevin Walker

Geometry & Topology 13 (2009) 1499–1582

DOI: 10.2140/gt.2009.13.1499

Bibliography

1	D Bar-Natan, Khovanov homology for knots and links with up to 11 crossings, from: "Advances in topological quantum field theory" (editor J M Bryden), NATO Sci. Ser. II Math. Phys. Chem. 179, Kluwer Acad. Publ. (2004) 167 MR2147420
2	D Bar-Natan, Khovanov's homology for tangles and cobordisms, Geom. Topol. 9 (2005) 1443 MR2174270
3	D Bar-Natan, Fast Khovanov homology computations, J. Knot Theory Ramifications 16 (2007) 243 MR2320156
4	J W Barrett, B W Westbury, Spherical categories, Adv. Math. 143 (1999) 357 MR1686423
5	D Bisch, Bimodules, higher relative commutants and the fusion algebra associated to a subfactor, from: "Operator algebras and their applications (Waterloo, ON, 1994/1995)" (editors P A Fillmore, J A Mingo), Fields Inst. Commun. 13, Amer. Math. Soc. (1997) 13 MR1424954
6	C L Caprau, sl(2) tangle homology with a parameter and singular cobordisms, Algebr. Geom. Topol. 8 (2008) 729 MR2443094
7	J S Carter, J H Rieger, M Saito, A combinatorial description of knotted surfaces and their isotopies, Adv. Math. 127 (1997) 1 MR1445361
8	J S Carter, M Saito, Reidemeister moves for surface isotopies and their interpretation as moves to movies, J. Knot Theory Ramifications 2 (1993) 251 MR1238875
9	S I Gelfand, Y I Manin, Methods of homological algebra, Springer (1996) MR1438306
10	M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
11	V F R Jones, Planar algebras, I arXiv:math.QA/9909027
12	A Joyal, R Street, The geometry of tensor calculus. I, Adv. Math. 88 (1991) 55 MR1113284
13	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
14	M Khovanov, A functor-valued invariant of tangles, Algebr. Geom. Topol. 2 (2002) 665 MR1928174
15	M Khovanov, Categorifications of the colored Jones polynomial, J. Knot Theory Ramifications 14 (2005) 111 MR2124557
16	M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
17	M Khovanov, L Rozansky, Matrix factorizations and link homology. II, Geom. Topol. 12 (2008) 1387 MR2421131
18	R Kirby, P Melvin, The $3$–manifold invariants of Witten and Reshetikhin–Turaev for $\mathrm{sl}(2,\mathbf{C})$, Invent. Math. 105 (1991) 473 MR1117149
19	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
20	G Naot, The universal Khovanov link homology theory, Algebr. Geom. Topol. 6 (2006) 1863 MR2263052
21	D Roseman, Reidemeister-type moves for surfaces in four-dimensional space, from: "Knot theory (Warsaw, 1995)" (editors V F R Jones, P T Joanna Kania-Bartoszyńska Jozef H. Przytycki, V G Turaev), Banach Center Publ. 42, Polish Acad. Sci. (1998) 347 MR1634466
22	B Webster, Khovanov–Rozansky homology via a canopolis formalism, Algebr. Geom. Topol. 7 (2007) 673 MR2308960