Holonomy of complex projective structures on surfaces with prescribed branch data

Author:

Le Fils Thomas1

Affiliation:

1. Sydney Mathematical Research Institute The University of Sydney Sydney New South Wales Australia

Abstract

AbstractWe characterize the representations of the fundamental group of a closed surface to that arise as the holonomy of a branched complex projective structure with fixed branch divisor. In particular, we compute the holonomies of the spherical metrics with prescribed integral conical angles and the holonomies of affine structures with fixed conical angles on closed surfaces.

Publisher

Wiley

Subject

Geometry and Topology

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5. S.Chenakkod G.Faraco andS.Gupta Translation surfaces and periods of meromorphic differentials arXiv 2021.

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