On Khovanov complexes

Noboru Ito

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arXiv · 2004.03746

On Khovanov complexes

Noboru Ito

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Abstract

In this paper, we discuss a proof of the isotopy invariance of a parametrized Khovanov link homology including categorifications of the Jones polynomial and the Kauffman bracket polynomial though it is a known fact. In order to present a proof easy-to-follow, we give an explicit description of retractions and chain homotopies between complexes to induce the invariance under isotopy of links. This is a refined version of arXiv: 0907.2104.

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Noboru Ito. 2020-04-07. On Khovanov complexes. https://arxiv.org/abs/2004.03746

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