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The Curvature of the Hitchin Connection (1609.01243v1)
Published 5 Sep 2016 in math.DG
Abstract: 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.