Universal metaplectic structures and geometric quantization

DOI10.1007/BF01221734zbMath0396.58007OpenAlexW2090065992MaRDI QIDQ1253475

H. Hess, Michael Forger

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01221734

zbMATH Keywords

second Stiefel-Whitney classspin structuresgeometric quantizationtopological obstructionsmetaplectic structuresKostant-Souriau quantization schemepolarized symplectic manifolds

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Geometric quantization (53D50)

Related Items (7)

Duality group actions on fermions ⋮ Conversion of second-class constraints and resolving the zero-curvature conditions in the geometric quantization theory ⋮ Induced \(C^*\)-complexes in metaplectic geometry ⋮ Symplectic Dirac operators and \({Mp^{\text c}}\)-structures ⋮ Spinc, Mpc and Symplectic Dirac Operators ⋮ Spin structures on compact homogeneous pseudo-Riemannian manifolds ⋮ Equivariant prequantization and admissible coadjoint orbits

Cites Work

• Unnamed Item
• Lifting classes of principal bundles
• Lorentzian characteristic classes
• Harmonic spinors
• Clifford modules
• Sur certains groupes d'opérateurs unitaires
• On the heat equation and the index theorem
• Characteristic Classes and Homogeneous Spaces, I
• Spinor Structure of Space-Times in General Relativity. I
• On geometric quantization and its connections with the Maslov theory

This page was built for publication: Universal metaplectic structures and geometric quantization