Generalized classical BRST cohomology and reduction of Poisson manifolds

DOI10.1007/BF02096751zbMath0768.58016arXivhep-th/9207080MaRDI QIDQ1208021

Takahashi Kimura

Publication date: 16 May 1993

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

Full work available at URL: https://arxiv.org/abs/hep-th/9207080

zbMATH Keywords

Poisson reductionclassical BRST cohomologyvertical differential forms

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (7)

Reduction of Poisson algebras at nonzero momentum values ⋮ Geometric quantization of Neumann-type completely integrable Hamiltonian systems ⋮ Marsden–Weinstein reduction on graded symplectic manifolds ⋮ Geodesic multiplication and BRST-like operators ⋮ Constraints in Hamiltonian time-dependent mechanics ⋮ Poisson reduction and branes in Poisson-sigma models ⋮ QUANTIZATION OF SINGULAR REDUCTION

Cites Work

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• Semi-infinite Weil complex and the Virasoro algebra
• Geometric BRST quantization. I: Prequantization
• Quantization and bosonic BRST theory
• The BRS method of geometric quantization: Some examples
• Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
• BRST cohomology in classical mechanics
• Geometric quantization of the BRST charge
• Homological reduction of constrained Poisson algebras
• Existence, uniqueness and cohomology of the classical BRST charge with ghosts of ghosts
• Semi-infinite cohomology and string theory
• Constrained Poisson algebras and strong homotopy representations
• Foundations of Quantum Mechanics

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