2 citations · 5 across the 7 of their papers we have counts for
5 papers · 1 filter
Topology of the space of -pleated surfaces
Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1
Given a maximal geodesic lamination on a closed oriented surface of genus , the space of -pleated surfaces with pleating locus is an open subset of $\mathrm{Hom}(…
-pleated surfaces and their shear-bend coordinates
Sara Maloni, Giuseppe Martone, Filippo Mazzoli +1
In this article, we single out representations of surface groups into which generalize the well-studied family of pleated surfaces into $\mathsf{PSL}_2…
Length functions in Teichmüller and anti de Sitter geometry
Filippo Mazzoli, Gabriele Viaggi
We establish a link between the behavior of length functions on Teichmüller space and the geometry of certain anti de Sitter 3-manifolds. As an application, we give new purely anti…
-maximal representations and hyperbolic surfaces
Filippo Mazzoli, Gabriele Viaggi
We study maximal representations of surface groups via the introduction of -invariant pleated surfaces inside the pseudo-Riemannian space $\mat…
Intertwining operators of the quantum Teichmüller space
Filippo Mazzoli
In arXiv:0707.2151 the authors introduced the theory of local representations of the quantum Teichmüller space ( being a fixed primitive -th root of $(-1)^{…