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Courant morphisms and moment maps

Bursztyn, Henrique
Ponte, David Iglesias
Published in Mathematical Research Letters. 2009, vol. 16, no. 2, p. 215-232
Abstract We study Hamiltonian spaces associated with pairs (E,A), where E is a Courant algebroid and Asubset E is a Dirac structure. These spaces are defined in terms of morphisms of Courant algebroids with suitable compatibility conditions. Several of their properties are discussed, including a reduction procedure. This set-up encompasses familiar moment map theories, such as group-valued moment maps, and it provides an intrinsic approach from which different geometrical descriptions of moment maps can be naturally derived. As an application, we discuss the relationship between quasi-Poisson and presymplectic groupoids.
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BURSZTYN, Henrique, PONTE, David Iglesias, SEVERA, Pavol. Courant morphisms and moment maps. In: Mathematical Research Letters, 2009, vol. 16, n° 2, p. 215-232. https://archive-ouverte.unige.ch/unige:8518

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Deposited on : 2010-07-02

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