The geometry of E-manifolds

View/Open
Document typeExternal research report
Defense date2018-02-09
Rights accessOpen Access
Abstract
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
Files | Description | Size | Format | View |
---|---|---|---|---|
emanifoldsarxiv.pdf | 383,6Kb | View/Open |
Except where otherwise noted, content on this work
is licensed under a Creative Commons license
:
Attribution-NonCommercial-NoDerivs 3.0 Spain