Poly-symplectic groupoids and poly-Poisson structures
Symplectic Geometry
2014-09-03 v1 Mathematical Physics
math.MP
Abstract
We introduce poly-symplectic groupoids, which are natural extensions of symplectic groupoids to the context of poly-symplectic geometry, and define poly-Poisson structures as their infinitesimal counterparts. We present equivalent descriptions of poly-Poisson structures, including one related with AV-Dirac structures. We also discuss symmetries and reduction in the setting of poly-symplectic groupoids and poly-Poisson structures, and use our viewpoint to revisit results and develop new aspects of the theory initiated by D.Iglesias, J.C Marrero and M. Vaquero.
Cite
@article{arxiv.1409.0695,
title = {Poly-symplectic groupoids and poly-Poisson structures},
author = {Nicolas Martinez Alba},
journal= {arXiv preprint arXiv:1409.0695},
year = {2014}
}