A scanning algorithm for odd Khovanov homology
Geometric Topology
2022-09-07 v2
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.
Keywords
Cite
@article{arxiv.2008.07410,
title = {A scanning algorithm for odd Khovanov homology},
author = {Dirk Schuetz},
journal= {arXiv preprint arXiv:2008.07410},
year = {2022}
}
Comments
30 pages, 9 figures. For program file, see https://www.maths.dur.ac.uk/~dma0ds/KnotJob.zip