Journal of Geometry and Physics
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.
Dirac, symplectic, 2-groupoids, Courant algebroids
© The Author(s) 2017. This article is an open access publication
Mehta, Rajan Amit and Tang, Xiang, "Symplectic Structures on the Integration of Exact Courant Algebroids" (2018). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.