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arXiv · 1702.01139

Constant Symplectic 2-groupoids

Rajan Amit Mehta·Xiang Tang
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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.

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Rajan Amit Mehta, Xiang Tang. 2017-11-21. Constant Symplectic 2-groupoids. https://doi.org/10.1007/s11005-017-1026-z

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