Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nowhere vanishing primitive of a symplectic form   Let $M$ be a manifold with an exact symplectic form $\omega$. Then there is a
nowhere vanishing primitive $\beta$ for $\omega$, i.e.
$\omega=\mathrm{d}\beta$.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex