Symplectic topology of b-symplectic manifolds

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.contributor	Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.contributor.author	Miranda Galcerán, Eva
dc.contributor.author	Martinez Torres, David
dc.contributor.author	Frejlich, Pedro
dc.date	2013-12
dc.identifier.citation	Miranda, E.; MARTINEZ, D.; Frejlich, P. "Symplectic topology of b-symplectic manifolds". 2013.
dc.identifier.citation	arXiv:1312.7329
dc.identifier.uri	http://hdl.handle.net/2117/21516
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject	Geometry, Algebraic
dc.subject	Geometria algebraica
dc.title	Symplectic topology of b-symplectic manifolds
dc.type	info:eu-repo/semantics/draft
dc.type	info:eu-repo/semantics/report
dc.description.abstract	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.