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A scanning algorithm for odd Khovanov homology

Schuetz, Dirk (2022) 'A scanning algorithm for odd Khovanov homology.', Algebraic & geometric topology., 22 . pp. 1287-1324.


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.

Item Type:Article
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Date accepted:19 March 2021
Date deposited:19 April 2021
Date of first online publication:25 August 2022
Date first made open access:19 April 2021

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