The Szegö kernel of a symplectic quotient

DOI10.1016/j.aim.2004.10.014zbMath1102.53060arXivmath/0404549OpenAlexW2066841540MaRDI QIDQ2573408

Roberto Paoletti

Publication date: 22 November 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404549

zbMATH Keywords

moment mapsymplectic quotientSzegő kernelFourier-Hermite distribution

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20)

Related Items (6)

Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds ⋮ Higher asymptotics of unitarity in ``quantization commutes with reduction ⋮ Singular unitarity in ``quantization commutes with reduction ⋮ Equivariant asymptotics of Szegö kernels under Hamiltonian \(U(\mathbf{2})\)-actions ⋮ Unitarity in ``Quantization commutes with reduction ⋮ Bergman kernels and symplectic reduction

Cites Work

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• Potential functions and actions of tori on Kähler manifolds
• Geometric quantization and multiplicities of group representations
• Moment maps and equivariant Szegő kernels
• Star products on compact pre-quantizable symplectic manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Fourier integral operators

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