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.
Version
Author's Accepted Manuscript
Recommended Citation
Cueca, Miquel and Mehta, Rajan Amit, "Courant Cohomology, Cartan Calculus, Connections, Curvature, Characteristic Classes" (2021). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/87
Comments
Peer reviewed accepted manuscript.