Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proper maps, bordism, and geometric quantization   Let $G$ be a compact connected Lie group acting on a stable complex manifold
$M$ with equivariant vector bundle $E$. Besides, suppose $\phi$ is an
equivariant map from $M$ to the Lie algebra $\mathfrak{g}$. We can define some
equivalence relation on the triples $(M, E, \phi)$ such that the set of
equivalence classes form an abelian group. In this paper, we will show that
this group is isomorphic to a completion of character ring $R(G)$. In this
framework, we provide a geometric proof to the "Quantization Commutes with
Reduction" conjecture in the non-compact setting.

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The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex