Symplectic annular Khovanov homology and fixed point localizations

Kristen Hendricks; Cheuk Yu Mak; Sriram Raghunath

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arXiv · 2408.06453

Symplectic annular Khovanov homology and fixed point localizations

Kristen Hendricks·Cheuk Yu Mak·Sriram Raghunath

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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.

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Kristen Hendricks, Cheuk Yu Mak, Sriram Raghunath. 2024-08-12. Symplectic annular Khovanov homology and fixed point localizations. https://arxiv.org/abs/2408.06453

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