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Zeroth poisson homology, foliated cohomology and perfect poisson manifolds

Autor
Miranda, E.; MARTINEZ, D.
Tipus d'activitat
Document cientificotècnic
Data
2017
URL
https://arxiv.org/abs/1709.01176 Obrir en finestra nova
Resum
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.
Paraules clau
Symplectic Geometry
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions

Participants