Odd Khovanov homology for tangles

2020/03/31 by Naisse, Grégoire, Putyra, Krzysztof · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2003.14290

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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• A local \mathfrakgl_1|1-action on odd Khovanov homology

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