Mapping class group invariant unitarity of the Hitchin connection over Teichmüller space

2012/06/11 by Andersen, Jørgen Ellegaard
#Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1206.2635

Abstract

We provide a geometric construction of the unitary structure which is projectively preserved by the Hitchin connection. We analyze the asymptotic behavior of it and we establish that it is uniformly in the level equivalent to the Hermitian structure induced by the L2 inner product on smooth sections.

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