Khovanov homology and star-like isotopies
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2008
- DOI:
- arXiv:
- arXiv:0804.1292
- Bibcode:
- 2008arXiv0804.1292A
- Keywords:
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- Mathematics - Geometric Topology;
- Mathematics - Quantum Algebra;
- 57M25
- E-Print:
- to appear in Topology and its Applications, 20 pages