Asymptotics of Szegő kernels under Hamiltonian torus actions

DOI10.1007/S11856-011-0212-4zbMath1252.32030arXiv1006.4273OpenAlexW1963517555MaRDI QIDQ1760384

Roberto Paoletti

Publication date: 13 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.4273

zbMATH Keywords

Hardy spacecompact symplectic manifoldcomplex projective manifoldTian-Zelditch expansion

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (10)

Equivariant fixed point formulae and Toeplitz operators under Hamiltonian torus actions and remarks on equivariant asymptotic expansions ⋮ Local scaling asymptotics for the Gutzwiller trace formula in Berezin-Toeplitz quantization ⋮ Scaling asymptotics of Szegö kernels under commuting Hamiltonian actions ⋮ Conic reductions for Hamiltonian actions of \(U(2)\) and its maximal torus ⋮ Commutativity of quantization with conic reduction for torus actions on compact CR manifolds ⋮ Equivariant asymptotics of Szegö kernels under Hamiltonian \(U(\mathbf{2})\)-actions ⋮ Polarized orbifolds associated to quantized Hamiltonian torus actions ⋮ Equivariant local scaling asymptotics for smoothed Toeplitz spectral projectors ⋮ Szegö kernel equivariant asymptotics under Hamiltonian Lie group actions ⋮ Local scaling asymptotics in phase space and time in Berezin–Toeplitz quantization

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