Toeplitz operators on symplectic manifolds

Autor: George Marinescu, Xiaonan Ma
Přispěvatelé: Institut de Mathématiques de Jussieu (IMJ), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Mathematisches Institut, Universität zu Köln = University of Cologne, Universität zu Köln
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Mathematics - Differential Geometry
Pure mathematics
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
FOS: Physical sciences
32A25
01 natural sciences
58F06
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
0103 physical sciences
FOS: Mathematics
Limit (mathematics)
0101 mathematics
Complex Variables (math.CV)
Mathematics::Symplectic Geometry
Mathematical Physics
Bergman kernel
Mathematics
Mathematics::Functional Analysis
010308 nuclear & particles physics
Mathematics::Operator Algebras
Mathematics - Complex Variables
Quantization (signal processing)
010102 general mathematics
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Mathematical Physics (math-ph)
81S10
Toeplitz matrix
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
Differential geometry
Differential Geometry (math.DG)
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
Mathematics - Symplectic Geometry
47B35
Symplectic Geometry (math.SG)
Geometry and Topology
Asymptotic expansion
Symplectic geometry
Toeplitz operator
Popis: We study the Berezin-Toeplitz quantization on symplectic manifolds making use of the full off-diagonal asymptotic expansion of the Bergman kernel. We give also a characterization of Toeplitz operators in terms of their asymptotic expansion. The semi-classical limit properties of the Berezin-Toeplitz quantization for non-compact manifolds and orbifolds are also established.
40 pages
Databáze: OpenAIRE
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