Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hitchin's connection, Toeplitz operators and symmetry invariant
  deformation quantization   We establish that Hitchin's connection exist for any rigid holomorphic family
of Kahler structures on any compact pre-quantizable symplectic manifold which
satisfies certain simple topological constraints. Using Toeplitz operators we
prove that Hitchin's connection induces a unique formal connection on smooth
functions on the symplectic manifold. Parallel transport of this formal
connection produces equivalences between the corresponding Berezin-Toeplitz
deformation quantizations. - In the cases where the Hitchin connection is
projectively flat, the formal connections will be flat and we get a
symmetry-invariant formal quantization. If a certain cohomological condition is
satisfied a global trivialization of this algebra bundle is constructed. As a
corollary we get a symmetry-invariant deformation quantization.
  Finally, these results are applied to the moduli space situation in which
Hitchin's originally constructed his connection. First we get a proof that the
Hitchin connection in this case is the same as the connection constructed by
Axelrod, Della Pietra and Witten. Second we obtain in this way a mapping class
group invariant formal quantization of the smooth symplectic leaves of the
moduli space of flat SU(n)-connections on any compact surface.

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The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: gr-qc