On the cohomology of a polarization which contains the generators of a free torus action.

DOI10.1016/S0393-0440(00)00075-9zbMath1037.53061OpenAlexW2004948928MaRDI QIDQ5943196

Georgios Terizakis

Publication date: 2001

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(00)00075-9

zbMATH Keywords

sheaf cohomology, geometric quantization, polarization, Bohr-Sommerfeld set.

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Geometric quantization (53D50)

Cites Work

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• Geometric quantization and multiplicities of group representations
• Reduction of symplectic manifolds with symmetry
• Singular reduction and quantization
• Holomorphic slices, symplectic reduction and multiplicities of representations
• Symplectic reduction and Riemann-Roch for circle actions
• Multiplicities formula for geometric quantization. I
• Multiplicities formula for geometric quantization. II
• Lectures in modern analysis and applications. III
• On the Cohomology Groups of a Polarisation and Diagonal Quantisation
• On Riemann-Roch Formulas for Multiplicities

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