Giuseppe Martone

activity

20182026

collaborators

4 papers

math.GT2026

Holmes-Thompson area of inscribed polygons and convex projective structures

Xenia Flamm, Giuseppe Martone

Positive tuples of complete flags in $R^{3}$ define two convex polygons in $RP^{2}$ , one inscribed in the other. We are interested in relating the Holmes-Thompson are…

math.GT2025

Topology of the space of $d$ -pleated surfaces

Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1

Given a maximal geodesic lamination $λ$ on a closed oriented surface $S$ of genus $g$ , the space of $d$ -pleated surfaces with pleating locus $λ$ is an open subset of $\mathrm{Hom}(…

math.GT2019

Sequences of Hitchin representations of Tree-type

Giuseppe Martone

The Hitchin component is a connected component of the character variety of reductive group homomorphisms from the fundamental group of a closed surface S of genus greater than 1 to…

math.GT2018

Positive configurations of flags in a building and limits of positive representations

Giuseppe Martone

Parreau compactified the Hitchin component of a closed surface $S$ of negative Euler characteristic in such a way that a boundary point corresponds to the projectivized length spec…

Holmes-Thompson area of inscribed polygons and convex projective structures

Topology of the space of d-pleated surfaces

Sequences of Hitchin representations of Tree-type

Positive configurations of flags in a building and limits of positive representations

Topology of the space of $d$ -pleated surfaces