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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.09354 |
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| _version_ | 1866929304322965504 |
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| author | Izosimov, Anton Khesin, Boris Kirillov, Ilia |
| author_facet | Izosimov, Anton Khesin, Boris Kirillov, Ilia |
| contents | We give a classification of generic coadjoint orbits for the group of area-preserving diffeomorphisms of a closed non-orientable surface. This completes V. Arnold's program of studying invariants of incompressible fluids in 2D. As an auxiliary problem, we also classify simple Morse pseudo-functions on non-orientable surfaces up to area-preserving diffeomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_09354 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces Izosimov, Anton Khesin, Boris Kirillov, Ilia Symplectic Geometry We give a classification of generic coadjoint orbits for the group of area-preserving diffeomorphisms of a closed non-orientable surface. This completes V. Arnold's program of studying invariants of incompressible fluids in 2D. As an auxiliary problem, we also classify simple Morse pseudo-functions on non-orientable surfaces up to area-preserving diffeomorphisms. |
| title | Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2304.09354 |