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

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.

References in corpus (7)

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• Geometric construction of modular functors from Conformal Field Theory
• Abelian Conformal Field theories and Determinant Bundles
• Mapping Class Groups do not have Kazhdan's Property (T)
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Cited by in corpus (3)

• Construction of the Witten-Reshetikhin-Turaev TQFT from conformal field theory
• A geometric formula for the Witten-Reshetikhin-Turaev Quantum Invariants and some applications
• Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles