Odd Khovanov homology for tangles
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.
arXiv comment76 pages
References in corpus (7)
- 2-Kac-Moody algebras
- A functor-valued invariant of tangles
- A diagrammatic approach to categorification of quantum groups II
- A diagrammatic approach to categorification of quantum groups III
- 2-block Springer fibers: convolution algebras and coherent sheaves
- The odd nilHecke algebra and its diagrammatics
- Real Springer fibers and odd arc algebras