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Symplectic and Poisson geometry on b-manifolds
dc.contributor.author | Guillemin, Victor |
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Pissarra Pires, Ana Rita |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2012-10-04T11:51:14Z |
dc.date.available | 2012-10-04T11:51:14Z |
dc.date.created | 2012 |
dc.date.issued | 2012 |
dc.identifier.citation | Guillemin, V.; Miranda, E.; Pissarra, A.R. "Symplectic and Poisson geometry on b-manifolds". 2012. |
dc.identifier.uri | http://hdl.handle.net/2117/16644 |
dc.description.abstract | Let M2n be a Poisson manifold with Poisson bivector field . We say thatM is b-Poisson if the map n : M ! 2n(TM) intersects the zero section transversally on a codimension one submanifold Z M. This paper will be a systematic investigation of such Poisson manifolds. In particular, we will study in detail the structure of (M, ) in the neighbourhood of Z and using symplectic techniques define topological invariants which determine the structure up to isomorphism. We also investigate a variant of de Rham theory for these manifolds and its connection with Poisson cohomology |
dc.format.extent | 32 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
dc.subject.lcsh | Symplectic Geometry |
dc.subject.lcsh | Differential Geometry |
dc.title | Symplectic and Poisson geometry on b-manifolds |
dc.type | External research report |
dc.subject.lemac | Geometria diferencial |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::53 Differential geometry::53D Symplectic geometry, contact geometry |
dc.relation.publisherversion | http://arxiv.org/abs/1206.2020 |
dc.rights.access | Open Access |
local.identifier.drac | 10837332 |
dc.description.version | Preprint |
local.citation.author | Guillemin, V.; Miranda, E.; Pissarra, A.R. |
local.citation.publicationName | Symplectic and Poisson geometry on b-manifolds |
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