Year: 2026
Type: preprint
Abstract: To a quiver of finite type one can associate two abelian categories: the category of finite dimensional modules over the corresponding affine quiver Hecke algebra and the Coulomb category of Koszul-perverse coherent sheaves. In this paper we define an exact functor from the former to the latter. This functor sends a simple to a simple or zero and is (almost) essentially surjective on simples. This implies that simple Koszul-perverse sheaves categorify the dual canonical basis.
Source: arXiv (Cornell University)
Authors: Cautis, Sabin, Vasserot, Eric
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7215041428