UNIGE document Scientific Article
previous document  unige:8518  next document
add to browser collection
Title

Courant morphisms and moment maps

Authors
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.
Identifiers
Full text
Article (292 Kb) - public document Free access
Structures
Citation
(ISO format)
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

178 hits

72 downloads

Update

Deposited on : 2010-07-02

Export document
Format :
Citation style :