Coherent sheaves and quantum Coulomb branches I: tilting bundles from integrable systems
Algebraic Geometry
2024-09-05 v3 Representation Theory
Abstract
In this paper, we consider how the approach of Bezrukavnikov and Kaledin to understanding the categories of coherent sheaves on symplectic resolutions can be applied to the Coulomb branches introduced by Braverman, Finkelberg and Nakajima. In particular, we construct tilting generators on resolved Coulomb branches, and give explicit quiver presentations of categories of coherent sheaves on these varieties, with the wall-crossing functors described by natural bimodules.
Keywords
Cite
@article{arxiv.1905.04623,
title = {Coherent sheaves and quantum Coulomb branches I: tilting bundles from integrable systems},
author = {Ben Webster},
journal= {arXiv preprint arXiv:1905.04623},
year = {2024}
}
Comments
49 pages. v3: minor revisions