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The Curvature of the Hitchin Connection

2016/09/05 by Jørgen Ellegaard Andersen, Andersen, Jørgen Ellegaard, Niccolo Skovgård Poulsen +1
Mathematics · Physics and Astronomy · #53C05 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1609.01243

openalex publication_date 2016/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Teichmüller space.

Citations

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