Symplectic topology of b-symplectic manifolds
A Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques of Symplectic Topology to address global questions pertaining to b-symplectic manifolds. The main results provide constructions of: b-symplectic submanifolds a la Donaldson, b-symple...
| Autores: | , , |
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| Formato: | informe técnico |
| Fecha de publicación: | 2013 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/21516 |
| Acesso em linha: | https://hdl.handle.net/2117/21516 https://dx.doi.org/arXiv:1312.7329 |
| Access Level: | acceso abierto |
| Palavra-chave: | Geometry, Algebraic Geometria algebraica Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica |
| Resumo: | A Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques of Symplectic Topology to address global questions pertaining to b-symplectic manifolds. The main results provide constructions of: b-symplectic submanifolds a la Donaldson, b-symplectic structures on open manifolds by Gromov's h-principle, and of b-symplectic manifolds with a prescribed singular locus, by means of surgeries. |
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