Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Removing a ray from a noncompact symplectic manifold   We prove that any noncompact symplectic manifold which admits a properly
embedded ray with a wide neighborhood is symplectomorphic to the complement of
the ray by constructing an explicit symplectomorphism in the case of the
standard Euclidean space. We use this excision trick to construct a nowhere
vanishing Liouville vector fields on every cotangent bundle.

7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph