Coherent sheaves and quantum Coulomb branches I: tilting bundles from integrable systems

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.

arXiv comment49 pages. v3: minor revisions

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Cited by in corpus (7)

• Gelfand-Tsetlin modules in the Coulomb context
• Knot Categorification from Mirror Symmetry, Part I: Coherent Sheaves
• Homological Knot Invariants from Mirror Symmetry
• Knot Categorification from Mirror Symmetry, Part II: Lagrangians
• Elliptic canonical bases for toric hyper-Kahler manifolds
• Derived equivalences for trigonometric double affine Hecke algebras
• Localization theorems for quantized symplectic resolutions