Coulomb branch algebras via symplectic cohomology

Read full text
Authors: Eduardo González, Cheuk Yu Mak, Daniel Pomerleano
Cited by: 1
References: 49

Abstract

Abstract Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian ‐action for some connected, compact Lie group . We construct an action of the pure Coulomb branch of on the ‐equivariant symplectic cohomology of . Building on work of Teleman ( J. Eur. Math. Soc . 23 (2021), 3497–3520), we use this construction to characterize the Coulomb branches of Braverman–Finkelberg–Nakajima ( Adv. Theor. Math. Phys . 22 (2018), 1071–1147) in terms of equivariant symplectic cohomology.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Advanced Algebra and Geometry Advanced Operator Algebra Research

Publication details

Journal / source
Journal of Topology
Publisher
Wiley
Volume
19
Issue
2
Publication date
8 April 2026
Language
EN