Symplectic and Poisson geometry on b-manifolds

Let M2nM2n be a Poisson manifold with Poisson bivector field Π. We say that M is b -Poisson if the map Πn:M→Λ2n(TM)Πn:M→Λ2n(TM) intersects the zero section transversally on a codimension one submanifold Z⊂MZ⊂M. This paper will be a systematic investigation of such Poisson manifolds. In particular,...

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Bibliographic Details
Main Authors: Guillemin, Victor W, Miranda, Eva, Pissarra Pires, Ana Rita
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:en_US
Published: Elsevier 2017
Online Access:http://hdl.handle.net/1721.1/108365
https://orcid.org/0000-0003-2641-1097