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A scanning algorithm for odd Khovanov homology

Schuetz, Dirk

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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.

Citation

Schuetz, D. (2022). A scanning algorithm for odd Khovanov homology. Algebraic & geometric topology, 22, 1287-1324. https://doi.org/10.2140/agt.2022.22.1287

Journal Article Type Article
Acceptance Date Mar 19, 2021
Online Publication Date Aug 25, 2022
Publication Date 2022
Deposit Date Apr 19, 2021
Publicly Available Date Apr 19, 2021
Journal Algebraic and Geometric Topology
Print ISSN 1472-2747
Electronic ISSN 1472-2739
Publisher Mathematical Sciences Publishers (MSP)
Peer Reviewed Peer Reviewed
Volume 22
Pages 1287-1324
DOI https://doi.org/10.2140/agt.2022.22.1287
Related Public URLs https://arxiv.org/abs/2008.07410

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