Commutativity of quantization with conic reduction for torus actions on compact CR manifolds

DOI10.1007/s10455-023-09931-yarXiv2110.07104OpenAlexW3206232935MaRDI QIDQ6183502

Andrea Galasso

Publication date: 4 January 2024

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07104

zbMATH Keywords

Hardy spacestrictly pseudoconvex domain

Mathematics Subject Classification ID

Strongly pseudoconvex domains (32T15)

Cites Work

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• Homogeneous quantization and multiplicities of group representations
• The range of the tangential Cauchy-Riemann operator
• Geometric quantization and multiplicities of group representations
• Asymptotics of Szegő kernels under Hamiltonian torus actions
• \(G\)-invariant Szegő kernel asymptotics and CR reduction
• Toeplitz operators on CR manifolds and group actions
• Polarized orbifolds associated to quantized Hamiltonian torus actions
• Lower order asymptotics for Szeg\"{o} and Toeplitz kernels under Hamiltonian circle actions
• Projections in several complex variables
• Equivariant fixed point formulae and Toeplitz operators under Hamiltonian torus actions and remarks on equivariant asymptotic expansions
• Geometric quantization on CR manifolds

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