The Curvature of the Hitchin Connection
  In this paper we calculate the curvature of the Hitchin connection. We further show that a slight (possibly trivial) modification of the Hitchin connection has curvature equal to an explict given multiple of the Weil-Petersen symplectic form on Teichm\"{u}ller space. 
J{\o}rgen Ellegaard Andersen and Niccolo Skovg{\aa}rd Poulsen
math.DG