Kostant prequantization of symplectic manifolds with contact singularities

DOI10.1134/S0001434619050225zbMath1430.53099OpenAlexW2954315391MaRDI QIDQ2334926

D. B. Zot'ev

Publication date: 8 November 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619050225

zbMATH Keywords

quantizationBohr-Sommerfeld conditionsKostant-Souriau quantizationcontact singularity\(\Theta\)-handle

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

Realization of Fomenko-Zieschang invariants in closed symplectic manifolds with contact singularities, Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread

Cites Work

• Quantification géométrique.
• Symplectic geometry of manifolds with almost nowhere vanishing closed 2-form
• Quantization of Nonlinear Systems
• Contact degeneracies of closed 2-forms
• Asymptotic and geometric quantization
• Quantization and unitary representations
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