A note on the symplectic topology of b-manifolds

Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide constructions of b-symplectic structures on open manifolds by Gromov's h-prin...

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Detalles Bibliográficos
Autores: Miranda Galcerán, Eva|||0000-0001-9518-5279, Martinez Torres, David, Frejlich, Pedro
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/90070
Acceso en línea:https://hdl.handle.net/2117/90070
Access Level:acceso abierto
Palabra clave:Differential equations
Equacions diferencials
Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia
Descripción
Sumario:Poisson manifold (M2n; ) is b-symplectic if Vn is transverse to the zero section. In this paper we apply techniques native to Symplectic Topology to address questions pertaining to b-symplectic manifolds. We pro- vide constructions of 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.