On geometric quantization of compact, complex manifolds

DOI10.1016/0034-4877(84)90014-4zbMath0566.58017OpenAlexW2000191138MaRDI QIDQ1059315

J. Blot

Publication date: 1984

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(84)90014-4

zbMATH Keywords

Kähler manifoldsymplectic manifoldgeometric quantizationpurely complex polarization

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Geometric quantization (53D50)

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Lectures on geometric quantization
• Intertwining operators for representations induced from uniform subgroups
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
• Quantization and unitary representations
• Closed Manifolds with Homogeneous Complex Structure
• On Algebraic Homogeneous Spaces
• Kählerian Coset Spaces of Semisimple Lie Groups
• On geometric quantization and its connections with the Maslov theory
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