Volume 9, issue 3 (2005)

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Khovanov's homology for tangles and cobordisms

Dror Bar-Natan

Geometry & Topology 9 (2005) 1443–1499
Bibliography
1 M M Asaeda, J J Przytycki, A S Sikora, Khovanov homology of links in $I$–bundles over surfaces arXiv:math.QA/0403527
2 M M Asaeda, J H Przytycki, A S Sikora, Categorification of the Kauffman bracket skein module of $I$–bundles over surfaces, Algebr. Geom. Topol. 4 (2004) 1177 MR2113902
3 D Bar-Natan, On Khovanov's categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
4 J S Carter, M Saito, Knotted surfaces and their diagrams, Mathematical Surveys and Monographs 55, American Mathematical Society (1998) MR1487374
5 J S Carter, M Saito, S Satoh, Ribbon-moves for 2–knots with 1–handles attached and Khovanov–Jacobsson numbers, Proc. Amer. Math. Soc. 134 (2006) 2779 MR2213759
6 M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
7 M Jacobsson, Khovanov's conjecture over $\mathbb{Z}[c]$ arXiv:math.GT/0308151
8 V Jones, Planar algebras I arXiv:math.QA/9909027
9 L H Kauffman, State models and the Jones polynomial, Topology 26 (1987) 395 MR899057
10 M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
11 M Khovanov, A functor-valued invariant of tangles, Algebr. Geom. Topol. 2 (2002) 665 MR1928174
12 M Khovanov, Patterns in knot cohomology I, Experiment. Math. 12 (2003) 365 MR2034399
13 M Khovanov, An invariant of tangle cobordisms, Trans. Amer. Math. Soc. 358 (2006) 315 MR2171235
14 E S Lee, On Khovanov invariant for alternating links arXiv:math.GT/0210213
15 J H Przytycki, Fundamentals of Kauffman bracket skein modules, Kobe J. Math. 16 (1999) 45 MR1723531
16 J A Rasmussen, Khovanov homology and the slice genus arXiv:math.GT/0402131
17 J A Rasmussen, Khovanov's invariant for closed surfaces arXiv:math.GT/0502527
18 R Scharein, KnotPlot
19 A N Shumakovitch, Torsion of the Khovanov homology arXiv:math.GT/0405474
20 J Stallings, Centerless groups—an algebraic formulation of Gottlieb's theorem, Topology 4 (1965) 129 MR0202807
21 O Viro, Remarks on definition of Khovanov homology arXiv:math.GT/0202199
22 S Wolfram, The Mathematica book, Wolfram Media, Champaign, IL (1999) MR1721106