Split Courant algebroids as $L_{\infty}$-structures
Differential Geometry
2020-06-30 v2
Abstract
We show that split Courant algebroids, i.e., those defined on a Whitney sum , are in a one-to-one correspondence with multiplicative curved -algebras. This one-to-one correspondence extends to Nijenhuis morphisms and behaves well under the operation of twisting by a bivector.
Cite
@article{arxiv.1912.09791,
title = {Split Courant algebroids as $L_{\infty}$-structures},
author = {Paulo Antunes and Joana M. Nunes da Costa},
journal= {arXiv preprint arXiv:1912.09791},
year = {2020}
}
Comments
25 pages. Minor corrections. To be published in Journal of Geometry and Physics