Khovanov homology of strongly invertible knots and their quotients

2022/03/25 by Robert Lipshitz, Lipshitz, Robert, Sucharit Sarkar +1 · 1 citation
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2203.13895

openalex publication_date 2022/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We construct a spectral sequence relating the Khovanov homology of a strongly invertible knot to the annular Khovanov homologies of the two natural quotient knots. Using this spectral sequence, we re-prove that Khovanov homology distinguishes certain slice disks. We also give an analogous spectral sequence for the Heegaard Floer homology of the branched double cover.

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