The purpose of this paper is to construct and study equivariant Khovanov homology - a version of Khovanov homology theory for periodic links. Since our construction works regardless of the characteristic of the coefficient ring it generalizes a …
Given an $m$-periodic link $L \subset S^3$, we show that the Khovanov spectrum $\mathcal{X}\_{\operatorname{Kh}}(L)$ constructed by Lipshitz and Sarkar admits a homology group action. We relate the Borel cohomology of …
Based on the results of the second author, we define an equivariant version of Lee and Bar-Natan homology for periodic links and show that there exists an equivariant spectral sequence from the equivariant Khovanov homology to equivariant Lee …