Symplectic Structures on the Integration of Exact Courant Algebroids

Authors

Rajan Amit Mehta, Smith CollegeFollow
Xiang Tang, Washington University in St. Louis

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

Comments

Peer reviewed accepted manuscript.

Dedicated to Professor Alan Weinstein on the occasion of his 70th birthday

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