Document Type
Article
Publication Date
2-1-2021
Publication Title
Communications in Mathematical Physics
Abstract
We give an explicit description, in terms of bracket, anchor, and pairing, of the standard cochain complex associated to a Courant algebroid. In this formulation, the differential satisfies a formula that is formally identical to the Cartan formula for the de Rham differential. This perspective allows us to develop the theory of Courant algebroid connections in a way that mirrors the classical theory of connections. Using a special class of connections, we construct secondary characteristic classes associated to any Courant algebroid.
Volume
381
Issue
3
First Page
1091
Last Page
1113
DOI
10.1007/s00220-020-03894-y
ISSN
00103616
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Rights
Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.
Recommended Citation
Cueca, Miquel and Mehta, Rajan Amit, "Courant Cohomology, Cartan Calculus, Connections, Curvature, Characteristic Classes" (2021). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/87
Comments
Peer reviewed accepted manuscript.