LA-Courant algebroids and their applications
Differential Geometry
2012-04-13 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this thesis we develop the notion of LA-Courant algebroids, the infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the integration of q- Poisson (d, g)-structures, and the reduction of Courant algebroids. We also introduce the notion of pseudo-Dirac structures, (possibly non-Lagrangian) subbundles W \subseteq E of a Courant algebroid such that the Courant bracket endows W naturally with the structure of a Lie algebroid. Specific examples of pseudo-Dirac structures arise in the theory of q-Poisson (d, g)-structures.
Cite
@article{arxiv.1204.2796,
title = {LA-Courant algebroids and their applications},
author = {David Li-Bland},
journal= {arXiv preprint arXiv:1204.2796},
year = {2012}
}
Comments
137 Pages, 5 figures, phd thesis