Symmetries and reduction of multiplicative 2-forms

Details Symmetries and reduction of multiplicative 2-forms Symmetries and reduction of multiplicative 2-forms

2011-12-21

arxiv.org/abs/1112.5034v1

Mathematics

Symplectic Geometry

17 pages, to appear in Journal of Geometric Mechanics - in honor of Tudor Ratiu

Scientific paper

This paper is concerned with symmetries of closed multiplicative 2-forms on
Lie groupoids and their infinitesimal counterparts. We use them to study Lie
group actions on Dirac manifolds by Dirac diffeomorphisms and their lifts to
presymplectic groupoids, building on recent work of Fernandes-Ortega-Ratiu
\cite{FOR} on Poisson actions.

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