A scanning algorithm for odd Khovanov homology

Dirk Schuetz

doi:10.2140/agt.2022.22.1287

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arXiv · 2008.07410

A scanning algorithm for odd Khovanov homology

Dirk Schuetz

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Abstract

We adapt Bar-Natan's scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign assignments in the odd theory. The algorithm has been implemented in a computer program. We also use the algorithm to determine the odd Khovanov homology of 3-strand torus links.

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Dirk Schuetz. 2020-08-17. A scanning algorithm for odd Khovanov homology. https://doi.org/10.2140/agt.2022.22.1287

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