Momentum maps and Hamiltonian reduction

Description:

"The focus of this work is a comprehensive and self-contained presentation of the intimate connection between symmetries, conservation laws, and reduction, treating the singular case in detail." "This monograph is the first self-contained and thorough presentation of the theory of Hamiltonian reduction in the presence of singularities. It can serve as a resource for graduate courses and seminars in symplectic and Poisson geometry, mechanics, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers."--BOOK JACKET.

subjects: Global differential geometry,  Global analysis (Mathematics),  Lie groups,  Hamiltonian systems,  Analytic topology,  Science,  Mathematics,  Science/Mathematics,  Mathematical Physics,  Differential Equations,  Mathematics / Group Theory,  Applied,  Geometry, differential