Corpus ID: 211020810

Group-valued momentum maps for actions of automorphism groups.

  title={Group-valued momentum maps for actions of automorphism groups.},
  author={Tobias Diez and Tudor S. Ratiu},
  • Tobias Diez, Tudor S. Ratiu
  • Published 2020
  • Mathematics, Physics
  • The space of smooth sections of a symplectic fiber bundle carries a natural symplectic structure. We provide a general framework to determine the momentum map for the action of the group of bundle automorphism on this space. Since, in general, this action does not admit a classical momentum map, we introduce the more general class of group-valued momentum maps which is inspired by the Poisson Lie setting. In this approach, the group-valued momentum map assigns to every section of the symplectic… CONTINUE READING

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