Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic Origami   An origami manifold is a manifold equipped with a closed 2-form which is
symplectic except on a hypersurface where it is like the pullback of a
symplectic form by a folding map and its kernel fibrates with oriented circle
fibers over a compact base. We can move back and forth between origami and
symplectic manifolds using cutting (unfolding) and radial blow-up (folding),
modulo compatibility conditions. We prove an origami convexity theorem for
hamiltonian torus actions, classify toric origami manifolds by polyhedral
objects resembling paper origami and discuss examples. We also prove a
cobordism result and compute the cohomology of a special class of origami
manifolds.

13
The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th