# Group-valued momentum maps for actions of automorphism groups.

@inproceedings{Diez2020GroupvaluedMM, title={Group-valued momentum maps for actions of automorphism groups.}, author={Tobias Diez and Tudor S. Ratiu}, year={2020} }

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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