Twisted skein homology
Geometric Topology
2012-09-14 v1
Abstract
We apply the techniques of totally twisted Khovanov homology to the constructions by M. Asaeda, J. Przytycki, and A. Sikora of Khovanov type homologies for links and tangles in I-bundles over (orientable) surfaces. As a result we describe an invariant chain complex built out of resolutions with only non-contractible circles. We use these to understand the \delta-graded homology for links with alternating projection to the surface.
Cite
@article{arxiv.1209.2967,
title = {Twisted skein homology},
author = {Nguyen D. Duong and Lawrence P. Roberts},
journal= {arXiv preprint arXiv:1209.2967},
year = {2012}
}
Comments
34 pgs, many figures