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Complex hyperbolic structures on moduli spaces of curves and Fibonacci TQFT

By Julien Marché

Appears in collection : Complex Hyperbolic Geometry and Related Topics / Autour de la géométrie hyperbolique complexe

The Fibonacci TQFT gives interesting representations of mapping class groups into pseudo-unitary groups. In some exceptional cases, they correspond to holonomy representation of complex hyperbolic structures on some compactifications of the moduli spaces of curves. The proof uses a computation of the Toledo invariant which fits in the framework of Cohomological Field theories. This is joint work with Bertrand Deroin.

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Citation data

  • DOI 10.24350/CIRM.V.19936903
  • Cite this video Marché Julien (7/5/22). Complex hyperbolic structures on moduli spaces of curves and Fibonacci TQFT. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19936903
  • URL https://dx.doi.org/10.24350/CIRM.V.19936903

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