All Questions

I am coming from this question, which has not being completely answered but I think is very interesting. In several works ([Chern], [Griffiths] and [Clelland]) the Maurer-Cartan form for $E(n)$ is ...

I'm basically wondering how to make "curved" the first column of the diagram $\require{AMScd}$ \begin{CD} P_1 @>\textrm{inclusion} >> G\\ @V \omega_0 V P_1\cap P_2 V @V\omega V P_2 V\\...