Constant Symplectic 2-groupoids
Symplectic Geometry
2020-03-30 v2 Algebraic Geometry
Differential Geometry
Abstract
We propose a definition of symplectic 2-groupoid which includes integrations of Courant algebroids that have been recently constructed. We study in detail the simple but illustrative case of constant symplectic 2-groupoids. We show that the constant symplectic 2-groupoids are, up to equivalence, in one-to-one correspondence with a simple class of Courant algebroids that we call constant Courant algebroids. Furthermore, we find a correspondence between certain Dirac structures and Lagrangian sub-2-groupoids.
Cite
@article{arxiv.1702.01139,
title = {Constant Symplectic 2-groupoids},
author = {Rajan Amit Mehta and Xiang Tang},
journal= {arXiv preprint arXiv:1702.01139},
year = {2020}
}
Comments
17 pages