Coulomb branch algebras via symplectic cohomology
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911465415376896 |
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| author | Gonzalez, Eduardo Mak, Cheuk Yu Pomerleano, Daniel |
| author_facet | Gonzalez, Eduardo Mak, Cheuk Yu Pomerleano, Daniel |
| contents | 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, we use this construction to characterize the Coulomb branches of Braverman-Finkelberg-Nakajima in terms of equivariant symplectic cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_04387 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coulomb branch algebras via symplectic cohomology Gonzalez, Eduardo Mak, Cheuk Yu Pomerleano, Daniel Symplectic Geometry Representation Theory 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, we use this construction to characterize the Coulomb branches of Braverman-Finkelberg-Nakajima in terms of equivariant symplectic cohomology. |
| title | Coulomb branch algebras via symplectic cohomology |
| topic | Symplectic Geometry Representation Theory |
| url | https://arxiv.org/abs/2305.04387 |