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arXiv · 2003.14290

Odd Khovanov homology for tangles

Grégoire Naisse·Krzysztof Putyra
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Abstract

We extend the covering of even and odd Khovanov link homology to tangles, using arc algebras. For this, we develop the theory of quasi-associative algebras and bimodules graded over a category with a 3-cocycle. Furthermore, we show that a covering version of a level 2 cyclotomic half 2-Kac--Moody algebra acts on the bicategory of quasi-associative bimodules over the covering arc algebras, relating our work to a construction of Vaz.

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Grégoire Naisse, Krzysztof Putyra. 2020-03-31. Odd Khovanov homology for tangles. https://arxiv.org/abs/2003.14290

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