Contents Online
Mathematical Research Letters
Volume 16 (2009)
Number 2
Courant morphisms and moment maps
Pages: 215 – 232
DOI: https://dx.doi.org/10.4310/MRL.2009.v16.n2.a2
Authors
Abstract
We study Hamiltonian spaces associated with pairs $(E,A)$, where $E$ is a Courant algebroid and $A\subset E$ 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.
Published 1 January 2009