A scanning algorithm for odd Khovanov homology

Schuetz, Dirk

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
• Public URL: https://durham-repository.worktribe.com/output/1244214
• Related Public URLs: https://arxiv.org/abs/2008.07410