Coisotropic branes in symplectic manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911051378851840 |
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| author | Kirchhoff-Lukat, Charlotte Zambon, Marco |
| author_facet | Kirchhoff-Lukat, Charlotte Zambon, Marco |
| contents | A brane in a symplectic manifold is a coisotropic submanifold $Y$ endowed with a compatible closed 2-form $F$, which together induce a transverse complex structure. For a specific class of branes we give an explicit description of branes nearby a given one, and for arbitrary branes we describe the infinitesimal deformations and provide an associated cochain complex. As an application, we determine to what extent coisotropic submanifolds near a given brane admit brane structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coisotropic branes in symplectic manifolds Kirchhoff-Lukat, Charlotte Zambon, Marco Symplectic Geometry A brane in a symplectic manifold is a coisotropic submanifold $Y$ endowed with a compatible closed 2-form $F$, which together induce a transverse complex structure. For a specific class of branes we give an explicit description of branes nearby a given one, and for arbitrary branes we describe the infinitesimal deformations and provide an associated cochain complex. As an application, we determine to what extent coisotropic submanifolds near a given brane admit brane structures. |
| title | Coisotropic branes in symplectic manifolds |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2507.08620 |