Thomas Le Fils

activity

20192022

collaborators

4 papers

math.GT2022

Compatible pants decompositions for $SL_{2} (C)$ -representations of surface groups

Renaud Detcherry, Thomas Le Fils, Ramanujan Santharoubane

For any irreducible representation of a surface group into $SL_{2} (C)$ , we show that there exists a pants decomposition where the restriction to any pair of pants i…

math.GT2021

Holonomy of complex projective structures on surfaces with prescribed branch data

Thomas Le Fils

We characterize the representations of the fundamental group of a closed surface to $PSL_{2} (C)$ that arise as the holonomy of a branched complex projective structur…

math.GT2020

Periods of abelian differentials with prescribed singularities

Thomas Le Fils

We give a necessary and sufficient condition for a representation of the fundamental group of a closed surface of genus at least 2 to $C$ to be the holonomy of a translatio…

math.GT2019

Pentagon representations and complex projective structures on closed surfaces

Thomas Le Fils

We define a class of representations of the fundamental group of a closed surface of genus $2$ to $PSL_{2} (C)$ : the pentagon representations. We show that they are…

Compatible pants decompositions for SL2​(C)-representations of surface groups

Holonomy of complex projective structures on surfaces with prescribed branch data

Periods of abelian differentials with prescribed singularities

Pentagon representations and complex projective structures on closed surfaces

Compatible pants decompositions for $SL_{2} (C)$ -representations of surface groups