The geometry of E-manifolds
Document typeExternal research report
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Motivated by the study of symplectic Lie algebroids, we study a describe a type of algebroid (called an E-tangent bundle) which is particularly well-suited to study of singular differential forms and their cohomology. This setting generalizes the study of b-symplectic manifolds, foliated manifolds, and a wide class of Poisson manifolds. We generalize Moser's theorem to this setting, and use it to construct symplectomorphisms between singular symplectic forms. We give appli- cations of this machinery (including the study of Poisson cohomology), and study specific examples of a few of them in depth.
CitationMiranda, E. "The geometry of E-manifolds". 2018.
URL other repositoryhttps://arxiv.org/abs/1802.02959