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 Sciences: 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