Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 2 (2018), 1147-1194.
A rank inequality for the annular Khovanov homology of $2$–periodic links
For a –periodic link in the thickened annulus and its quotient link , we exhibit a spectral sequence with
This spectral sequence splits along quantum and weight-space gradings, proving a rank inequality for every pair of quantum and weight-space gradings . We also present a few decategorified consequences and discuss partial results toward a similar statement for the Khovanov homology of –periodic links, as well as some frameworks for obstructing –periodicity in links.
Algebr. Geom. Topol., Volume 18, Number 2 (2018), 1147-1194.
Received: 14 July 2017
Revised: 2 November 2017
Accepted: 25 November 2017
First available in Project Euclid: 22 March 2018
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Zhang, Melissa. A rank inequality for the annular Khovanov homology of $2$–periodic links. Algebr. Geom. Topol. 18 (2018), no. 2, 1147--1194. doi:10.2140/agt.2018.18.1147. https://projecteuclid.org/euclid.agt/1521684033