Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The geometry of E-manifolds   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 applications of this machinery (including the study of Poisson
cohomology), and study specific examples of a few of them in depth.

7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio