Duistermaat-Heckman measures for Hamiltonian groupoid actions
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909834329194496 |
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| author | Zwaan, Luka |
| author_facet | Zwaan, Luka |
| contents | Consider a source proper, source connected regular symplectic groupoid acting locally freely and effectively in a Hamiltonian way, and assume that the moment map is proper and has connected fibres. In this case there is an associated Duistermaat-Heckman measure on the quotient orbifold. We show that this measure is polynomial with respect to the natural affine measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02491 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Duistermaat-Heckman measures for Hamiltonian groupoid actions Zwaan, Luka Symplectic Geometry Differential Geometry 53D17 Consider a source proper, source connected regular symplectic groupoid acting locally freely and effectively in a Hamiltonian way, and assume that the moment map is proper and has connected fibres. In this case there is an associated Duistermaat-Heckman measure on the quotient orbifold. We show that this measure is polynomial with respect to the natural affine measure. |
| title | Duistermaat-Heckman measures for Hamiltonian groupoid actions |
| topic | Symplectic Geometry Differential Geometry 53D17 |
| url | https://arxiv.org/abs/2311.02491 |