Coherent state embeddings, polar divisors and Cauchy formulas

DOI10.1016/S0393-0440(99)00075-3zbMath1002.81027arXivmath/9903105WikidataQ122078841 ScholiaQ122078841MaRDI QIDQ1576287

Stefan Berceanu, Martin Schlichenmaier

Publication date: 19 January 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903105

zbMATH Keywords

algebraic (projective) geometryquantizable compact Kähler manifoldstwo-point, three-point and more generally cyclic \(m\)-point functions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Embeddings in algebraic geometry (14E25) Geometric quantization (53D50)

Related Items (15)

Pullback coherent states, squeezed states and quantization ⋮ The symplectic area of a geodesic triangle in a Hermitian symmetric space of compact type ⋮ Geometric Perspectives on Reproducing Kernels ⋮ Dequantization via quantum channels ⋮ Gaussian distributions, Jacobi group, and Siegel-Jacobi space ⋮ Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results ⋮ Some remarks on homogeneous Kähler manifolds ⋮ Coherent states and entropy ⋮ Complex hyperbolic geometry and Hilbert spaces with complete Pick kernels ⋮ Remarks on Berezin quantization on the Siegel-Jacobi ball ⋮ Coherent states and geometry on the Siegel–Jacobi disk ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ The real Jacobi group revisited ⋮ A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA ⋮ Coherent state map quantization in a Hermitian-like setting

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