Marsden–Weinstein reduction on graded symplectic manifolds

DOI10.1063/1.531902zbMath0881.58027OpenAlexW1973714864MaRDI QIDQ4339580

P. Baguis, T. Stavracou

Publication date: 22 January 1998

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

Full work available at URL: https://doi.org/10.1063/1.531902

zbMATH Keywords

Hamiltonian systemmoment mapMarsden-Weinstein reductiongraded symplectic manifoldsconstrained supersystem

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (1)

Projective flatness in the quantisation of bosons and fermions

Cites Work

• \({\mathbb{R}}\)-actions, derivations, and Frobenius theorem on graded manifolds
• Generalized classical BRST cohomology and reduction of Poisson manifolds
• Reduction of symplectic manifolds with symmetry
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Introduction to Poisson supermanifolds
• Geometrical foundations of Lagrangian supermechanics and supersymmetry
• Existence and uniqueness of solutions to superdifferential equations
• A geometrical version of Noether's theorem in supermechanics
• ON THE INVERSE PROBLEM OF LAGRANGIAN SUPERMECHANICS
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS

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