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arXiv · 1204.2796

LA-Courant algebroids and their applications

David Li-Bland
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Abstract

In this thesis we develop the notion of LA-Courant algebroids, the infinitesimal analogue of multiplicative Courant algebroids. Specific applications include the integration of q- Poisson (d, g)-structures, and the reduction of Courant algebroids. We also introduce the notion of pseudo-Dirac structures, (possibly non-Lagrangian) subbundles W \subseteq E of a Courant algebroid such that the Courant bracket endows W naturally with the structure of a Lie algebroid. Specific examples of pseudo-Dirac structures arise in the theory of q-Poisson (d, g)-structures.

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David Li-Bland. 2012-04-12. LA-Courant algebroids and their applications. https://arxiv.org/abs/1204.2796

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