3 papers
math.GT2018
On type-preserving representations of the thrice punctured projective plane group
Sara Maloni, Frédéric Palesi, Tian Yang
In this paper we consider type-preserving representations of the fundamental group of the three--holed projective plane into $\mathrm{PGL}(2, \R) =\mathrm{Isom}(\HH^2)$ and study t…
math.GT2013
On the character variety of the four-holed sphere
Sara Maloni, Frederic Palesi, Ser Peow Tan
We study the (relative) SL(2,C) character varieties of the four-holed sphere and the action of the mapping class group on it. We describe a domain of discontinuity for this action,…
math.GT2008
Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces
Frederic Palesi
The purpose of this paper is to study the action of the mapping class group on the moduli space of representations of the fundamental group of a non-orientable surface into SU(2).…