The Curvature of the Hitchin Connection
Differential Geometry
2016-09-06 v1
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.
Cite
@article{arxiv.1609.01243,
title = {The Curvature of the Hitchin Connection},
author = {Jørgen Ellegaard Andersen and Niccolo Skovgård Poulsen},
journal= {arXiv preprint arXiv:1609.01243},
year = {2016}
}