Courant Algebroids. A Short History
arXiv:1212.0559 · doi:10.3842/SIGMA.2013.014
Abstract
The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a "double" for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.
Dedicated to Peter Olver
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Cited by in corpus (12)
- The Pontryagin Class for Pre-Courant Algebroids
- Nonabelian higher derived brackets
- Pre-Courant Algebroids
- Glanon groupoids
- Hitchhiker's Guide to Courant Algebroid Relations
- Dissections and automorphisms of regular Courant algebroids
- Lie Algebroids in the Loday-Pirashvili Category
- Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
- The first Pontryagin class of a quadratic Lie 2-algebroid
- Dirac structures in nonequilibrium thermodynamics for simple open systems
- Lie algebroids. Lie-Rinehart algebras
- The standard cohomology of regular Courant algebroids