Talk:Courant algebroid

From Citizendium
Jump to navigation Jump to search
This article is developing and not approved.
 Main Article
 Discussion
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
 
To learn how to update the categories for this article, see here. To update categories, edit the metadata template.
 Definition:  A Courant algebroid is a vector bundle endowed with a non-skew-symmetric bracket that fulfills all nice properties (Jacobi, Leibniz, ad-invariance). [d] [e]
Checklist and Archives
 Workgroup categories:  Mathematics and Physics [Categories OK]
 Subgroup category:  Differential Geometry
 Talk Archive:  none  English language variant:  American English

Further ideas

It could be interesting to also explain the works:

  1. P. Bressler and A. Chervov: Courant algebroids, Journ. of Math. Sci., vol. 128/4 (2005) (the arXiv-version is too old and buggy). They explain a conducting bundle construction and thus an understanding of Courant algebroids as (2-symplectic) algebroids. Also the association of a Courant algebroid to a (bundle) gerbe is explained, but I don't understand it well enough yet.
  2. D. Roytenberg: AKSZ-BV formalism and Courant algebroid-induced topological sigma models, hep-th/0608150.

Melchior Grutzmann 00:30, 13 December 2011 (UTC)

Retrieved from "https://citizendium.org/wiki/index.php?title=Talk:Courant_algebroid&oldid=762901"