• Corpus ID: 118845358

Courant algebroids, derived brackets and even symplectic supermanifolds

@article{Roytenberg1999CourantAD,
  title={Courant algebroids, derived brackets and even symplectic supermanifolds},
  author={Dmitry Roytenberg},
  journal={arXiv: Differential Geometry},
  year={1999}
}
In this dissertation we study Courant algebroids, objects that first appeared in the work of T. Courant on Dirac structures; they were later studied by Liu, Weinstein and Xu who used Courant algebroids to generalize the notion of the Drinfeld double to Lie bialgebroids. As a first step towards understanding the complicated properties of Courant algebroids, we interpret them by associating to each Courant algebroid a strongly homotopy Lie algebra in a natural way. Next, we propose an alternative… 

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TLDR
A class of transitive Courant algebroids which are Whitney sums of a Courant subalgebroid with neutral metric and Courant-like bracket and a pseudo-Euclidean vector bundle with a flat, metric connection is described.

Conformal Courant Algebroids and Orientifold T-duality

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