Geodesic
A rank inequality for the annular Khovanov homology of 2–periodic links
Zhang, Melissa1
1 Department of Mathematics, Boston College, Chestnut Hill, MA, United States
Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 1147-1194

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

For a 2–periodic link L̃ in the thickened annulus and its quotient link L, we exhibit a spectral sequence with

This spectral sequence splits along quantum and sl2 weight-space gradings, proving a rank inequality rkAKhj,k(L) ≤ rkAKh2j−k,k(L̃) for every pair of quantum and sl2 weight-space gradings (j,k). We also present a few decategorified consequences and discuss partial results toward a similar statement for the Khovanov homology of 2–periodic links, as well as some frameworks for obstructing 2–periodicity in links.

DOI : 10.2140/agt.2018.18.1147
Classification : 57M25, 57M27, 57M60
Keywords: Khovanov homology, periodic links, localization

Zhang, Melissa 1

1 Department of Mathematics, Boston College, Chestnut Hill, MA, United States 
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     title = {A rank inequality for the annular {Khovanov} homology of 2{\textendash}periodic links},
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Zhang, Melissa. A rank inequality for the annular Khovanov homology of 2–periodic links. Algebraic and Geometric Topology, Tome 18 (2018) no. 2, pp. 1147-1194. doi: 10.2140/agt.2018.18.1147

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