Notes on Geometric Morita equivalence of twisted Poisson manifolds

Details Notes on Geometric Morita equivalence of twisted Poisson manifolds Notes on Geometric Morita equivalence of twisted Poisson manifolds

2010-04-28

arxiv.org/abs/1004.5078v1

Mathematics

Symplectic Geometry

Scientific paper

This paper is devoted to the study of Morita equivalence for twisted Poisson manifolds. We review some Morita invariants and prove that integrable twisted Poisson manifolds which are gauge equivalent are Morita equivalent. Moreover, we introduce the notion of weak Morita equivalence and show that if two twisted Poisson manifolds are weak Morita equivalent, there exists a one-to-one correspondence between their twisted symplectic leaves.

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