Symplectic geometry of projective structures on surfaces with boundary
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909990451675136 |
|---|---|
| author | Khazaeipoul, Ahmadreza Meinrenken, Eckhard |
| author_facet | Khazaeipoul, Ahmadreza Meinrenken, Eckhard |
| contents | For oriented surfaces $Σ$ with boundary, we consider the infinite-dimensional deformation space of projective structures on $Σ$ with nondegenerate boundary, up to isotopies fixing the boundary. We show that this space carries a natural symplectic structure, and is a Hamiltonian space for the symplectic groupoid integrating the Adler-Gelfand-Dikii-space of the boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09662 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symplectic geometry of projective structures on surfaces with boundary Khazaeipoul, Ahmadreza Meinrenken, Eckhard Symplectic Geometry Differential Geometry 53D30 For oriented surfaces $Σ$ with boundary, we consider the infinite-dimensional deformation space of projective structures on $Σ$ with nondegenerate boundary, up to isotopies fixing the boundary. We show that this space carries a natural symplectic structure, and is a Hamiltonian space for the symplectic groupoid integrating the Adler-Gelfand-Dikii-space of the boundary. |
| title | Symplectic geometry of projective structures on surfaces with boundary |
| topic | Symplectic Geometry Differential Geometry 53D30 |
| url | https://arxiv.org/abs/2601.09662 |