Balanced metric and Berezin quantization on the Siegel-Jacobi ball

DOI10.3842/SIGMA.2016.064zbMath1342.32017arXiv1512.00601OpenAlexW2183270384MaRDI QIDQ726541

Stefan Berceanu

Publication date: 11 July 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00601

zbMATH Keywords

Laplace-Beltrami operatorbalanced metricBerezin quantizationSiegel-Jacobi ball

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10)

Related Items (8)

Invariant metric on the extended Siegel-Jacobi upper half space ⋮ The category of weight modules for symplectic oscillator Lie algebras ⋮ The balanced metrics and cscK metrics on polyball bundles ⋮ Unnamed Item ⋮ Remarks on Berezin quantization on the Siegel-Jacobi ball ⋮ The real Jacobi group revisited ⋮ The balanced metrics and cscK metrics on certain holomorphic ball bundles ⋮ Hamiltonian systems on almost cosymplectic manifolds

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