Twisted skein homology

Nguyen D. Duong; Lawrence P. Roberts

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arXiv · 1209.2967

Twisted skein homology

Nguyen D. Duong·Lawrence P. Roberts

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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.

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Nguyen D. Duong, Lawrence P. Roberts. 2012-09-13. Twisted skein homology. https://arxiv.org/abs/1209.2967

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