Regularity of constraints and reduction in the Minkowski space Yang-Mills-Dirac theory
Dirac brackets in geometric dynamics
Orbits of families of vector fields on subcartesian spaces
Orbits of complete families of vector fields on a subcartesian space are shown to be smooth manifolds. This allows a description of the structure of the reduced phase space of a Hamiltonian system in terms of the reduced Poisson algebra. Moreover, one can give a global description of smooth geometric structures on a family of manifolds, which form a singular foliation of a subcartesian space, in terms of objects defined on the corresponding family of vector fields. Stratified...
Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields
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