Berezin-Toeplitz quantization and star products for compact Kähler manifolds

DOI10.1090/CONM/583/11573zbMath1316.53096arXiv1202.5927OpenAlexW1548657593MaRDI QIDQ5265147

Martin Schlichenmaier

Publication date: 22 July 2015

Published in: Mathematical Aspects of Quantization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5927

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Geometric quantization (53D50) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (10)

Trees and tensors on Kähler manifolds ⋮ Weyl invariant polynomial and deformation quantization on Kähler manifolds ⋮ On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds ⋮ A note on Berezin-Toeplitz quantization of the Laplace operator ⋮ Twisted Fock representations of noncommutative Kähler manifolds ⋮ On the von Neumann rule in quantization

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