/

On Regular Courant Algebroids

Zhuo Chen, Mathieu Stienon, Ping Xu
Arxiv ID: 0909.0319Last updated: 6/7/2021
For any regular Courant algebroid, we construct a characteristic class a la Chern-Weil. This intrinsic invariant of the Courant algebroid is a degree-3 class in its naive cohomology. When the Courant algebroid is exact, it reduces to the Severa class (in H^3_{DR}(M)). On the other hand, when the Courant algebroid is a quadratic Lie algebra g, it coincides with the class of the Cartan 3-form (in H^3(g)). We also give a complete classification of regular Courant algebroids and discuss its relation to the characteristic class.

PaperStudio AI Chat

I'm your research assistant! Ask me anything about this paper.

Related papers

About
Pricing
Commercial Disclosure
Contact
© 2023 Paper Studio™. All Rights Reserved.