Twisted equivariant HKR theorem for torus action and the small quantum group

Autor:	Hemelsoet, Nicolas
Rok vydání:	2022
Předmět:	Mathematics - Algebraic Geometry Mathematics - Quantum Algebra
Druh dokumentu:	Working Paper
Popis:	We show that when a torus $T$ acts on a smooth variety $X$, 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 $\widetilde{\mathcal{N}}$ , can be upgraded to a ring isomorphism by a twist.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.02111 Zobrazit plný text záznamu View this record from Arxiv