Coulomb branch algebras via symplectic cohomology

IF 1.6 2区数学 Q2 MATHEMATICS

Journal of Topology Pub Date : 2026-04-08 DOI:10.1112/topo.70067

Eduardo González, Cheuk Yu Mak, Dan Pomerleano

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引用次数: 0

Abstract

Let $(\bar{M}, ω)$ be a compact symplectic manifold with convex boundary and $c_{1} (T \bar{M}) = 0$ . Suppose that $(\bar{M}, ω)$ is equipped with a convex Hamiltonian $G$ -action for some connected, compact Lie group $G$ . We construct an action of the pure Coulomb branch of $G$ on the $G$ -equivariant symplectic cohomology of $\bar{M}$ . 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.

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通过辛上同调的库仑分支代数

设(M¯，ω) $(\bar{M}, \omega)$是一个紧致辛流形，具有凸边界和c1 （T M¯）= 0 $c_1(T\bar{M})=0$。假设（M¯，ω） $(\bar{M}, \omega)$具有凸哈密顿函数G $G$ -作用，紧李群G $G$。构造了G $G$的纯库仑分支在M¯$\bar{M}$的G $G$ -等变辛上同调上的作用。在Teleman （J. Eur.）著作的基础上。数学。Soc. 23(2021), 3497-3520)，我们使用该结构来表征Braverman-Finkelberg-Nakajima （Adv. theory）的库仑分支。数学。物理学报，22(2018),1071-1147)。

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来源期刊

Journal of Topology 数学-数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Topology publishes papers of high quality and significance in topology, geometry and adjacent areas of mathematics. Interesting, important and often unexpected links connect topology and geometry with many other parts of mathematics, and the editors welcome submissions on exciting new advances concerning such links, as well as those in the core subject areas of the journal. The Journal of Topology was founded in 2008. It is published quarterly with articles published individually online prior to appearing in a printed issue.