Zeroth poisson homology, foliated cohomology and perfect poisson manifolds

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Título:	Zeroth poisson homology, foliated cohomology and perfect poisson manifolds
Autor/a:	Miranda Galcerán, Eva; Martinez Torres, David
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	We prove that for regular Poisson manifolds, the zeroth homology group is isomorphic to the top foliated cohomology group and we give some applications. In particular, we show that for regular unimodular Poisson manifolds top Poisson and foliated cohomology groups are isomorphic. Inspired by the symplectic setting, we define what is a perfect Poisson manifold. We use these Poisson homology computations to provide families of perfect Poisson manifolds.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial -Manifolds (Mathematics) -Poisson homology -foliated cohomology -Varietats (Matemàtica)
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión publicada Artículo
Editor:	Springer
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