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arxiv 1905.04623 v3 pith:EMBA434A submitted 2019-05-12 math.AG math.RT

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

Ben Webster This is my paper
classification math.AG math.RT
keywords branchescoherentcoulombsheavescategoriestiltingappliedapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. Fukaya categories of Coulomb branches as unique deformations

    math.RT 2026-06 unverdicted novelty 5.0

    Fukaya categories of horizontal Hilbert schemes arise as the unique Z^2-graded deformations of the NilHecke algebra after removing the matter divisor.