24 Feb 2020
•
Batakidis Panagiotis
•
Petalidou Fani
A Courant algebroid $E$ with a Dirac structure $L\subset E$ is said to be a
Manin pair. We first discuss $E$-Dorfman connections on predual vector bundles
$B$ and develop the corresponding Cartan calculus...This is then used in
relation to Courant-Dorfman cohomology to compute a cohomology class that
measures the obstruction to the existence of a compatible $E$-Dorfman
connection on predual vector bundles $B$ extending a given $L$-Dorfman action
on $B$.(read more)