Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toeplitz operators and Hamiltonian torus action   This paper is devoted to semi-classical aspects of symplectic reduction.
Consider a compact prequantizable Kahler manifold M with a Hamiltonian torus
action. Guillemin and Sternberg introduced an isomorphism between the invariant
part of the quantum space associated to M and the quantum space associated to
the symplectic quotient of M, provided this quotient is non-singular.
  We prove that this isomorphism is a Fourier integral operator and that the
Toeplitz operators of M descend to Toeplitz operators of the reduced phase
space. We also extend these results to the case where the symplectic quotient
is an orbifold and estimate the spectral density of a reduced Toeplitz
operator, a result related to the Riemann-Roch-Kawazaki theorem.

30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess