Integration of Coupling Dirac Structures
Symplectic Geometry
2016-01-20 v2 Differential Geometry
Abstract
Coupling Dirac structures are Dirac structures defined on the total space of a fibration, generalizing hamiltonian fibrations from symplectic geometry, where one replaces the symplectic structure on the fibers by a Poisson structure. We study the associated Poisson gauge theory, in order to describe the presymplectic groupoid integrating coupling Dirac structures. We find the obstructions to integrability and we give explicit geometric descriptions of the integration.
Keywords
Cite
@article{arxiv.1409.7899,
title = {Integration of Coupling Dirac Structures},
author = {Olivier Brahic and Rui Loja Fernandes},
journal= {arXiv preprint arXiv:1409.7899},
year = {2016}
}
Comments
48 pages, Final version accepted for publication in Pacific Journal of Mathematics