Dirac structures, moment maps and quasi-Poisson manifolds
نویسندگان
چکیده
We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an “inversion” procedure relating quasi-Poisson bivectors to twisted Dirac structures. Dedicated to Alan Weinstein for his 60th birthday
منابع مشابه
Dirac Structures , Moment Maps and Quasi – Poisson Manifolds Henrique
We extend the correspondence between Poisson maps and actions of symplectic groupoids, which generalizes the one between momentum maps and hamiltonian actions, to the realm of Dirac geometry. As an example, we show how hamiltonian quasi-Poisson manifolds fit into this framework by constructing an “inversion” procedure relating quasi-Poisson bivectors to twisted Dirac structures. Dedicated to Al...
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