Determinant connection
= Determinant connection
{title2=$D^{(\det)}\text{ on }\det E$}
A <connection on a vector bundle> induces a connection on its top <exterior power> by differentiating each factor in turn. Its local <connection one-form> is $\operatorname{Tr}A$ and its <curvature form of a connection> is $\operatorname{Tr}\Theta_D$.