Odd Khovanov's arc algebra
Volume 241 / 2018
Fundamenta Mathematicae 241 (2018), 143-178
MSC: Primary 17D99.
DOI: 10.4064/fm328-6-2017
Published online: 1 December 2017
Abstract
We construct an odd version of Khovanov’s arc algebra $H^n$. Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the $(n,n)$-Springer variety. We also prove that the odd arc algebra can be twisted into an associative algebra.
