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Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds
- Source :
- Regul. Chaotic Dyn. 23 (2018), 1, 47-53
- Publication Year :
- 2017
-
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.<br />Comment: 8 pages
- Subjects :
- Mathematics - Symplectic Geometry
Subjects
Details
- Database :
- arXiv
- Journal :
- Regul. Chaotic Dyn. 23 (2018), 1, 47-53
- Publication Type :
- Report
- Accession number :
- edsarx.1709.01176
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1134/S1560354718010045