Geometry & Topology Volume 18, issue 2 (2014)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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$2$–strand twisting and knots with identical quantum knot homologies

Andrew Lobb

Geometry & Topology 18 (2014) 873–895

DOI: 10.2140/gt.2014.18.873

Bibliography

1	S Cautis, Clasp technology to knot homology via the affine Grassmannian, arXiv:1207.2074
2	B Gornik, Note on Khovanov link cohomology, arXiv:math.QA/0402266
3	M Hedden, P Ording, The Ozsváth–Szabó and Rasmussen concordance invariants are not equal, Amer. J. Math. 130 (2008) 441 MR2405163
4	A Kawauchi, Introduction to topological imitations of $(3,1)$–dimensional manifold pairs, from: "Topics in knot theory" (editor M E Bozhüyük), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 399, Kluwer Acad. Publ. (1993) 69 MR1257906
5	M Khovanov, L Rozansky, Virtual crossings, convolutions and a categorification of the $\mathrm{SO}(2N)$ Kauffman polynomial, J. Gökova Geom. Topol. GGT 1 (2007) 116 MR2386537
6	M Khovanov, L Rozansky, Matrix factorizations and link homology, Fund. Math. 199 (2008) 1 MR2391017
7	D Krasner, A computation in Khovanov–Rozansky homology, Fund. Math. 203 (2009) 75 MR2491784
8	D Krasner, Equivariant $\mathrm{sl}(n)$–link homology, Algebr. Geom. Topol. 10 (2010) 1 MR2580427
9	P B Kronheimer, T S Mrowka, Khovanov homology is an unknot-detector, Publ. Math. Inst. Hautes Études Sci. (2011) 97 MR2805599
10	E S Lee, An endomorphism of the Khovanov invariant, Adv. Math. 197 (2005) 554 MR2173845
11	C Livingston, Computations of the Ozsváth–Szabó knot concordance invariant, Geom. Topol. 8 (2004) 735 MR2057779
12	A Lobb, A slice genus lower bound from $\mathrm{sl}(n)$ Khovanov–Rozansky homology, Adv. Math. 222 (2009) 1220 MR2554935
13	A Lobb, A note on Gornik's perturbation of Khovanov–Rozansky homology, Algebr. Geom. Topol. 12 (2012) 293 MR2916277
14	J Rasmussen, Some differentials on Khovanov–Rozansky homology, arXiv:math/0607544
15	J Rasmussen, Khovanov homology and the slice genus, Invent. Math. 182 (2010) 419 MR2729272
16	L Rozansky, An infinite torus braid yields a categorified Jones–Wenzl projector, arXiv:1005.3266
17	D Ruberman, Mutation and volumes of knots in $S^3$, Invent. Math. 90 (1987) 189 MR906585
18	T Soma, Simple links and tangles, Tokyo J. Math. 6 (1983) 65 MR707839
19	W P Thurston, The geometry and topology of three-manifolds, Princeton Univ. Math. Dept. Lecture Notes (1979)
20	P Vaz, The reduced HOMFLY-PT homology for the Conway and the Kinoshita–Terasaka knots, arXiv:0812.1957
21	H Wu, On the quantum filtration of the Khovanov–Rozansky cohomology, Adv. Math. 221 (2009) 54 MR2509322