Year: 2026
Type: preprint
Abstract: In this paper we study (the positive half of) the elliptic Hall category, a categorical version of the elliptic Hall algebra. Our main result is a computation of categorical versions of the generators in the coherent realization of the elliptic Hall category, i.e., via coherent sheaves on commuting stacks for $\operatorname{GL}_n\times \mathfrak{gl}_n$: we realize them as Hodge associated graded sheaves of certain twisted equivariant $D$-modules on the groups $\operatorname{GL}_n$.
Source: arXiv (Cornell University)
Authors: Bezrukavnikov, Roman, Losev, Ivan, Ma, Xinchun
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223906510