Manifolds of vortex loops as coadjoint orbits
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866908786647629824 |
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| author | Ciuclea, Ioana Vizman, Cornelia |
| author_facet | Ciuclea, Ioana Vizman, Cornelia |
| contents | We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms (vorticity densities) allowed to have zeros. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17861 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Manifolds of vortex loops as coadjoint orbits Ciuclea, Ioana Vizman, Cornelia Differential Geometry Symplectic Geometry 53D20 We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms (vorticity densities) allowed to have zeros. |
| title | Manifolds of vortex loops as coadjoint orbits |
| topic | Differential Geometry Symplectic Geometry 53D20 |
| url | https://arxiv.org/abs/2601.17861 |