Equivariant Khovanov Homology of Periodic Links
arXiv:1504.00376 · doi:10.1307/mmj/1565251218
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 .
26 pages, 13 figures. The paper was reorganized and shotened