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arXiv · 1609.01243

The Curvature of the Hitchin Connection

Jørgen Ellegaard Andersen·Niccolo Skovgård Poulsen
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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.

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Jørgen Ellegaard Andersen, Niccolo Skovgård Poulsen. 2016-09-05. The Curvature of the Hitchin Connection. https://arxiv.org/abs/1609.01243

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