Symplectic structures on the integration of exact Courant algebroids
Differential Geometry
2020-03-30 v1 Symplectic Geometry
Abstract
We construct an infinite-dimensional symplectic 2-groupoid as the integration of an exact Courant algebroid. We show that every integrable Dirac structure integrates to a "Lagrangian" sub-2-groupoid of this symplectic 2-groupoid. As a corollary, we recover a result of Bursztyn-Crainic-Weinstein-Zhu that every integrable Dirac structure integrates to a presymplectic groupoid.
Keywords
Cite
@article{arxiv.1310.6587,
title = {Symplectic structures on the integration of exact Courant algebroids},
author = {Rajan Amit Mehta and Xiang Tang},
journal= {arXiv preprint arXiv:1310.6587},
year = {2020}
}
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18 pages