Equivariant Khovanov Homology of Periodic Links

Nov 1, 2019·
Wojciech Politarczyk
· 0 min read
Abstract
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 previous construction by Chbili. We establish invariance under equivariant isotopies of links and study algebraic properties of integral and rational version of the homology theory. Moreover, we construct a skein spectral sequence converging to equivariant Khovanov homology and use this spectral sequence to compute, as an example, equivariant Khovanov homology of torus links T(n,2).
Type
Publication
The Michigan Mathematical Journal