Symplectic annular Khovanov homology and fixed point localizations
Geometric Topology
2026-01-22 v2 Symplectic Geometry
Abstract
We introduce a new version of symplectic annular Khovanov homology and establish spectral sequences from (i) the symplectic annular Khovanov homology of a knot to the link Floer homology of the lift of the annular axis in the double branched cover; (ii) the symplectic Khovanov homology of a two-periodic knot to the symplectic annular Khovanov homology of its quotient; and (iii) the symplectic Khovanov homology of a strongly invertible knot to the cone of the axis-moving map between the symplectic annular Khovanov homology of the two resolutions of its quotient.
Cite
@article{arxiv.2408.06453,
title = {Symplectic annular Khovanov homology and fixed point localizations},
author = {Kristen Hendricks and Cheuk Yu Mak and Sriram Raghunath},
journal= {arXiv preprint arXiv:2408.06453},
year = {2026}
}
Comments
66 pages; 28 figures. v2: Minor expository updates. This version to be published in Transations of the AMS