Topology of representation spaces of surface groups in PSL (2, R) with assigned boundary monodromy and nonzero Euler number

G Mondello - arXiv preprint arXiv:1607.04634, 2016 - arxiv.org
In this paper we complete the topological description of the space of representations of the
fundamental group of a punctured surface in SL (2, R) with prescribed behavior at the …

Modular orbits on the representation spaces of compact abelian Lie groups

Y Bouilly, G Faraco - Groups, Geometry, and Dynamics, 2023 - ems.press
Let S be a closed surface of genus g greater than zero. In the present paper, we study the
topological-dynamical action of the mapping class group on the Tn-character variety giving …

[PDF][PDF] Geometrization of almost extremal representations in PSL2R

G Faraco - arXiv preprint arXiv:1802.00755, 2017 - researchgate.net
Let S be a closed surface of genus g. In this paper we investigate the relationship between
hyperbolic cone-structure on S and representations of the fundamental group into PSL2R …

Ergodic actions of Torelli groups on character varieties and pure modular groups on relative character varieties and topological dynamics of modular groups

Y Bouilly - 2021 - theses.hal.science
The aim of this thesis is to answer to some dynamical questions about the modular group
action on character varieties of surfaces. We first study the case of character varieties wwith …

The Geometry Awakens: on the relationship between holonomy and hyperbolic structures.

G Faraco - 2018 - sfera.unife.it
Questa tesi esamina la relazione tra strutture iperboliche ramificate su superfici e
rappresentazioni del gruppo fondamentale in $\pslr $. Una struttura iperbolica ramificata su …

[PDF][PDF] Max-Planck-Institut für Mathematik Bonn

Y Bouilly, G Faraco - pure.mpg.de
Let S be a closed surface of genus g greater than zero. In the present paper we study the
topologicaldynamical action of the mapping class group on the T n-character variety giving …

Geometrization of almost extremal representations in

G Faraco - arXiv preprint arXiv:1802.00755, 2018 - arxiv.org
Let $ S $ be a closed surface of genus $ g $. In this paper, we investigate the relationship
between hyperbolic cone-structure on $ S $ and representations of the fundamental group …

Structures affines complexes sur les surfaces de Riemann

S Ghazouani - 2017 - theses.hal.science
Cette thèse s' intéresse à des aspects divers des structures affines complexes branchées
sur les surfaces de Riemann. Dans une première partie, nous étudions un invariant …