Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric quantization of b-symplectic manifolds   We introduce a method of geometric quantization for compact $b$-symplectic
manifolds in terms of the index of an Atiyah-Patodi-Singer (APS) boundary value
problem. We show further that b-symplectic manifolds have canonical Spin-c
structures in the usual sense, and that the APS index above coincides with the
index of the Spin-c Dirac operator. We show that if the manifold is endowed
with a Hamiltonian action of a compact connected Lie group with non-zero
modular weights, then this method satisfies the Guillemin-Sternberg
``quantization commutes with reduction'' property. In particular our
quantization coincides with the formal quantization defined by Guillemin,
Miranda and Weitsman, providing a positive answer to a question posed in their
paper.

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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an