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Khovanov homology of strongly invertible knots and their quotients

Published 25 Mar 2022 in math.GT and math.QA | (2203.13895v1)

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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