Hamiltonian actions on 0-shifted cosymplectic groupoids
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912942366130176 |
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| author | Garcia, Daniel López Valencia, Fabricio |
| author_facet | Garcia, Daniel López Valencia, Fabricio |
| contents | We introduce the notion of 0-shifted cosymplectic structure on differentiable stacks and develop a corresponding moment map theory for Hamiltonian cosymplectic actions. We present a reduction procedure, establish a version of the Kirwan convexity theorem, and obtain examples of Morse-Bott Lie groupoid morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian actions on 0-shifted cosymplectic groupoids Garcia, Daniel López Valencia, Fabricio Differential Geometry Symplectic Geometry 53D20, 57R30, 58H05 We introduce the notion of 0-shifted cosymplectic structure on differentiable stacks and develop a corresponding moment map theory for Hamiltonian cosymplectic actions. We present a reduction procedure, establish a version of the Kirwan convexity theorem, and obtain examples of Morse-Bott Lie groupoid morphisms. |
| title | Hamiltonian actions on 0-shifted cosymplectic groupoids |
| topic | Differential Geometry Symplectic Geometry 53D20, 57R30, 58H05 |
| url | https://arxiv.org/abs/2508.17357 |