Khovanov homology of strongly invertible knots and their quotients
arXiv:2203.13895 · doi:10.1090/pspum/109
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.
23 pages, 5 figures