Foliations on the moduli space of rank two connections on the projective line minus four points

Frank Loray, Masa-Hiko Saito, Carlos T. Simpson

We look at natural foliations on the Painlevé VI moduli space of regular connections of rank 2 on $\pp ^1 -{t_1,t_2,t_3,t_4}$. These foliations are fibrations, and are interpreted…