Reduction and Geometric Prequantization at the Cotangent Level
Let (M,ω) be a symplectic manifold (possibly infinite dimensional), G a Lie group (possibly infinite dimensional) with Lie algebra G and Ø :G M → M a symplectic action of G on M, with and Ad * -equivariant momentum map J: M → G *i.e.
KeywordsSymplectic Manifold Cotangent Bundle Geometric Quantization Reduce Phase Space Hamiltonian Vector Field
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- Puta, M.: Geometric quantization of the reduced phase space of the cotangent bundle, Proceedings of the Conference 24–30 August (1986) Brno, Czechoslovakia, Brno (1987), 273–282.Google Scholar
- Puta, M.: Geometric prequantization of the Einstein’s vacuum field equations (to appear).Google Scholar
- Puta, M.: Dirac constrained mechanical systems and geometric prequantization (to appear).Google Scholar