Algebraic & Geometric Topology Volume 18, issue 2 (2018)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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A rank inequality for the annular Khovanov homology of $2\mskip-1.5mu$–periodic links

Melissa Zhang

Algebraic & Geometric Topology 18 (2018) 1147–1194

DOI: 10.2140/agt.2018.18.1147

Bibliography

1	M Abouzaid, I Smith, Khovanov homology from Floer cohomology, preprint (2015) arXiv:1504.01230
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 Auroux, J E Grigsby, S M Wehrli, Sutured Khovanov homology, Hochschild homology, and the Ozsváth–Szabó spectral sequence, Trans. Amer. Math. Soc. 367 (2015) 7103 MR3378825
4	J A Baldwin, On the spectral sequence from Khovanov homology to Heegaard Floer homology, Int. Math. Res. Not. 2011 (2011) 3426 MR2822178
5	A Beliakova, K K Putyra, S M Wehrli, Quantum link homology via trace functor, I, preprint (2016) arXiv:1605.03523
6	M Borodzik, W Politarczyk, Khovanov homology and periodic links, preprint (2017) arXiv:1704.07316v2
7	N Chbili, Equivalent Khovanov homology associated with symmetric links, Kobe J. Math. 27 (2010) 73
8	J Cornish, Sutured annular Khovanov homology and two periodic braids, preprint (2016) arXiv:1606.03034
9	J E Grigsby, A M Licata, S M Wehrli, Annular Khovanov–Lee homology, braids, and cobordisms, preprint (2016) arXiv:1612.05953
10	J E Grigsby, A M Licata, S M Wehrli, Annular Khovanov homology and knotted Schur–Weyl representations, Compos. Math. 154 (2018) 459 MR3731256
11	K Hendricks, A rank inequality for the knot Floer homology of double branched covers, Algebr. Geom. Topol. 12 (2012) 2127 MR3020203
12	K Hendricks, Localization of the link Floer homology of doubly-periodic knots, J. Symplectic Geom. 13 (2015) 545 MR3412087
13	M Khovanov, A categorification of the Jones polynomial, Duke Math. J. 101 (2000) 359 MR1740682
14	R Lipshitz, D Treumann, Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers, J. Eur. Math. Soc. 18 (2016) 281 MR3459952
15	J McCleary, A user’s guide to spectral sequences, 58, Cambridge Univ. Press (2001) MR1793722
16	K Murasugi, On periodic knots, Comment. Math. Helv. 46 (1971) 162 MR0292060
17	K Murasugi, Jones polynomials of periodic links, Pacific J. Math. 131 (1988) 319 MR922222
18	W Politarczyk, Equivariant Khovanov homology of periodic links, preprint (2015) arXiv:1504.00376v1
19	W Politarczyk, Equivariant Jones polynomials of periodic links, J. Knot Theory Ramifications 26 (2017) MR3627707
20	J H Przytycki, Symmetric knots and billiard knots, from: "Ideal knots" (editors A Stasiak, V Katritch, L H Kauffman), Ser. Knots Everything 19, World Scientific (1998) 374 MR1702040
21	L P Roberts, On knot Floer homology in double branched covers, Geom. Topol. 17 (2013) 413 MR3035332
22	P Seidel, I Smith, A link invariant from the symplectic geometry of nilpotent slices, Duke Math. J. 134 (2006) 453 MR2254624
23	P Seidel, I Smith, Localization for involutions in Floer cohomology, Geom. Funct. Anal. 20 (2010) 1464 MR2739000
24	Y Yokota, The Kauffman polynomial of periodic knots, Topology 32 (1993) 309 MR1217071