Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912864805060608 |
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| author | Crooks, Peter Gao, Xiang Pound, Mitchell Thompson, Casen |
| author_facet | Crooks, Peter Gao, Xiang Pound, Mitchell Thompson, Casen |
| contents | In this expository note, we give a self-contained introduction to some modern incarnations of Hamiltonian reduction. Particular emphasis is placed on applications to symplectic geometry and geometric representation theory. We thereby discuss abelianization in Hamiltonian geometry, reduction by symplectic groupoids, and the Moore--Tachikawa conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory Crooks, Peter Gao, Xiang Pound, Mitchell Thompson, Casen Symplectic Geometry Representation Theory In this expository note, we give a self-contained introduction to some modern incarnations of Hamiltonian reduction. Particular emphasis is placed on applications to symplectic geometry and geometric representation theory. We thereby discuss abelianization in Hamiltonian geometry, reduction by symplectic groupoids, and the Moore--Tachikawa conjecture. |
| title | Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory |
| topic | Symplectic Geometry Representation Theory |
| url | https://arxiv.org/abs/2503.23636 |