Equivariant Khovanov Homology of Periodic Links

Wojciech Politarczyk

doi:10.1307/mmj/1565251218

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arXiv · 1504.00376

Equivariant Khovanov Homology of Periodic Links

Wojciech Politarczyk

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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 $T(n,2)$.

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BibTeX RIS

Wojciech Politarczyk. 2015-04-01. Equivariant Khovanov Homology of Periodic Links. https://doi.org/10.1307/mmj/1565251218

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