Khovanov homology and star-like isotopies
Geometric Topology
2017-10-31 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.0804.1292,
title = {Khovanov homology and star-like isotopies},
author = {Benjamin Audoux},
journal= {arXiv preprint arXiv:0804.1292},
year = {2017}
}
Comments
to appear in Topology and its Applications, 20 pages