Khovanov homology of strongly invertible knots and their quotients

Robert Lipshitz; Sucharit Sarkar

doi:10.1090/pspum/109

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arXiv · 2203.13895

Khovanov homology of strongly invertible knots and their quotients

Robert Lipshitz·Sucharit Sarkar

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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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Robert Lipshitz, Sucharit Sarkar. 2022-03-25. Khovanov homology of strongly invertible knots and their quotients. https://doi.org/10.1090/pspum/109

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