Odd Khovanov's arc algebra
Quantum Algebra
2017-06-07 v3
Abstract
We construct an odd version of Khovanov's arc algebra . Extending the center to elements that anticommute, we get a subalgebra that is isomorphic to the oddification of the cohomology of the -Springer varieties. We also prove that the odd arc algebra can be twisted into an associative algebra.
Cite
@article{arxiv.1604.05246,
title = {Odd Khovanov's arc algebra},
author = {Grégoire Naisse and Pedro Vaz},
journal= {arXiv preprint arXiv:1604.05246},
year = {2017}
}
Comments
34 pages. v3 with new subsection "proof of theorem 4.1" giving more details on the proof of this result and a bunch of miscellaneous corrections