Geometric quantization of symplectic manifolds with respect to reducible non-negative polarizations

DOI10.1007/BF02506413zbMath0876.58016MaRDI QIDQ1356110

Jørgen Ellegaard Andersen

Publication date: 25 November 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

reducibilityfixed point theoremLefschetz theoremgeometric quantizationnon-negativitycompact symplectic manifoldsreducible non-negative polarizations

Mathematics Subject Classification ID

Geometric quantization (53D50)

Related Items (4)

Deformation of Dirac operators along orbits and quantization of noncompact Hamiltonian torus manifolds ⋮ RR-BS correspondence—a localization phenomenon of the index in geometric quantization ⋮ Quantization of abelian varieties: distributional sections and the transition from Kähler to real polarizations ⋮ Locally toric manifolds and singular Bohr-Sommerfeld leaves

Cites Work

• The Gelfand-Cetlin system and quantization of the complex flag manifolds
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