Khovanov homology and star-like isotopies

Details Khovanov homology and star-like isotopies Khovanov homology and star-like isotopies

2008-04-08

arxiv.org/abs/0804.1292v1

Mathematics

Geometric Topology

to appear in Topology and its Applications, 20 pages

Scientific paper

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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