Document Type
Article
Publication Date
4-2018
Publication Title
Journal of Geometry and Physics
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
Dirac, symplectic, 2-groupoids, Courant algebroids
Volume
127
First Page
68
Last Page
83
DOI
doi.org/10.1016/j.geomphys.2018.02.001
Rights
© The Author(s) 2017. This article is an open access publication
Recommended Citation
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.
https://scholarworks.smith.edu/mth_facpubs/40
Comments
Peer reviewed accepted manuscript.
Dedicated to Professor Alan Weinstein on the occasion of his 70th birthday