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2013
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# David Martínez-Torres

## Publications:

 Martínez-Torres D., Miranda E. Zeroth Poisson Homology, Foliated Cohomology and Perfect Poisson Manifolds 2018, vol. 23, no. 1, pp.  47-53 Abstract We prove that, for compact 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 a perfect Poisson manifold is. We use these Poisson homology computations to provide families of perfect Poisson manifolds. Keywords: Poisson homology, foliated cohomology Citation: Martínez-Torres D., Miranda E.,  Zeroth Poisson Homology, Foliated Cohomology and Perfect Poisson Manifolds, Regular and Chaotic Dynamics, 2018, vol. 23, no. 1, pp. 47-53 DOI:10.1134/S1560354718010045