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arXiv · 0804.1292

Khovanov homology and star-like isotopies

Benjamin Audoux
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Abstract

A star-like isotopy for oriented links in 3-space is an isotopy which uses only Reidemeister II moves with opposite orientations and Reidemeister III moves with alternating orientations when checking the strands clockwise (or anticlockwise). We define a link polynomial derived from the Jones polynomial which is, in general, only invariant under star-like isotopies and we categorify it.

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Benjamin Audoux. 2008-04-08. Khovanov homology and star-like isotopies. https://doi.org/10.1016/j.topol.2008.03.027

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