Algebraic & Geometric Topology Volume 12, issue 2 (2012)

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The link concordance invariant from Lee homology

John Pardon

Algebraic & Geometric Topology 12 (2012) 1081–1098

DOI: 10.2140/agt.2012.12.1081

Bibliography

1	D Bar-Natan, On Khovanov’s categorification of the Jones polynomial, Algebr. Geom. Topol. 2 (2002) 337 MR1917056
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	D Bar-Natan, S Morrison, KnotTheory Package (2008)
5	A Beliakova, S Wehrli, Categorification of the colored Jones polynomial and Rasmussen invariant of links, Canad. J. Math. 60 (2008) 1240 MR2462446
6	C L Caprau, sl(2) tangle homology with a parameter and singular cobordisms, Algebr. Geom. Topol. 8 (2008) 729 MR2443094
7	D Clark, S Morrison, K Walker, Fixing the functoriality of Khovanov homology, Geom. Topol. 13 (2009) 1499 MR2496052
8	M Freedman, R Gompf, S Morrison, K Walker, Man and machine thinking about the smooth 4-dimensional Poincaré conjecture, Quantum Topol. 1 (2010) 171 MR2657647
9	S Friedl, M Powell, Cobordisms to weakly splittable links arXiv:1112.3685
10	J Greene, Homologically thin, non-quasi-alternating links, Math. Res. Lett. 17 (2010) 39 MR2592726
11	A E Hatcher, A proof of the Smale conjecture, Diff(S³) ≃ O(4), Ann. of Math. (2) 117 (1983) 553 MR701256
12	M Jacobsson, An invariant of link cobordisms from Khovanov homology, Algebr. Geom. Topol. 4 (2004) 1211 MR2113903
13	A Kawauchi, On alternation numbers of links, Topology Appl. 157 (2010) 274 MR2556105
14	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
15	P B Kronheimer, T S Mrowka, Gauge theory for embedded surfaces, I, Topology 32 (1993) 773 MR1241873
16	P B Kronheimer, T S Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797 MR1306022
17	P B Kronheimer, T S Mrowka, Gauge theory for embedded surfaces, II, Topology 34 (1995) 37 MR1308489
18	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
19	C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geom. Topol. 8 (2004) 735 MR2057779
20	C Manolescu, P Ozsváth, On the Khovanov and knot Floer homologies of quasi-alternating links, from: "Proceedings of Gökova Geometry-Topology Conference 2007" (editors S Akbulut, T Önder, R J Stern), Gökova Geometry/Topology Conference (2008) 60 MR2509750
21	K Murasugi, On a certain numerical invariant of link types, Trans. Amer. Math. Soc. 117 (1965) 387 MR0171275
22	P Ozsváth, Z Szabó, Holomorphic disks and knot invariants, Adv. Math. 186 (2004) 58 MR2065507
23	P Ozsváth, Z Szabó, On the Heegaard Floer homology of branched double-covers, Adv. Math. 194 (2005) 1 MR2141852
24	P Ozsváth, Z Szabó, Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615 MR2443092
25	J Rasmussen, Khovanov’s invariant for closed surfaces arXiv:math.GT/0502527
26	J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
27	K Walker (mathoverflow.net/users/284), Is the complete functorial structure for Khovanov–Lee homology known ? (accessed 2011-07-22)