We study the geometry of deformations of structures locally modelled on the Riemann sphere, up to branched covers, focusing on structures with quasi-Fuchsian holonomy and on structures which admit holomorphically trivial deformations. Applications to Riemann-Hilbert problems are discussed.

The Geometry of Branched Complex Projective Structures on Surfaces

2017

Abstract

We study the geometry of deformations of structures locally modelled on the Riemann sphere, up to branched covers, focusing on structures with quasi-Fuchsian holonomy and on structures which admit holomorphically trivial deformations. Applications to Riemann-Hilbert problems are discussed.
2017
it
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14242/348808
Il codice NBN di questa tesi è URN:NBN:IT:BNCF-348808