Localization in Khovanov homology

Abstract

We construct equivariant Khovanov spectra for periodic links, using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in $S^3$.

To appear in Geometry & Topology

References in corpus (6)

• An odd Khovanov homotopy type
• Khovanov spectra for tangles
• A rank inequality for the annular Khovanov homology of 2-periodic links
• Chen-Khovanov spectra for tangles
• Rank Inequalities on Knot Floer Homology of Periodic Knots
• Stable homotopy refinement of quantum annular homology