Twisted equivariant HKR theorem for torus action and the small quantum group
Algebraic Geometry
2022-10-06 v1 Quantum Algebra
Abstract
We show that when a torus acts on a smooth variety , the twisted HKR isomorphism is equivariant. The main consequence is that the Bezrukavnikov- Lachowska isomorphism, relating the Hochschild cohomology of the principal block of the small quantum group to certain sheaf cohomology groups on the Springer resolution , can be upgraded to a ring isomorphism by a twist.
Cite
@article{arxiv.2210.02111,
title = {Twisted equivariant HKR theorem for torus action and the small quantum group},
author = {Nicolas Hemelsoet},
journal= {arXiv preprint arXiv:2210.02111},
year = {2022}
}