7 citations · 15 across the 11 of their papers we have counts for
13 papers
Extending Donaldson's HyperKähler Structure via Minimal Surfaces into
Christian El Emam, Filippo Mazzoli, Nicholas Rungi +2
We construct a deformation space for minimal immersions into with its holomorphic Killing form, and define an explicit, mapping class group invariant,…
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}(…
Volume, entropy, and diameter in -higher Teichmüller spaces
Filippo Mazzoli, Gabriele Viaggi
We investigate properties of the pseudo-Riemannian volume, entropy, and diameter for convex cocompact representations of closed -manifold groups. In…
-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…
Quasi-Fuchsian manifolds close to the Fuchsian locus are foliated by constant mean curvature surfaces
Diptaishik Choudhury, Filippo Mazzoli, Andrea Seppi
Even though it is known that there exist quasi-Fuchsian hyperbolic three-manifolds that do not admit any monotone foliation by constant mean curvature (CMC) surfaces, a conjecture…
Para-hyperKähler geometry of the deformation space of maximal globally hyperbolic anti-de Sitter three-manifolds
Filippo Mazzoli, Andrea Seppi, Andrea Tamburelli
In this paper we study the para-hyperKähler geometry of the deformation space of MGHC anti-de Sitter structures on , for a closed oriented surface. We show th…
The infimum of the dual volume of convex co-compact hyperbolic -manifolds
Filippo Mazzoli
We show that the infimum of the dual volume of the convex core of a convex co-compact hyperbolic -manifold with incompressible boundary coincides with the infimum of the Riemann…
Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic -manifolds
Filippo Mazzoli
We study the geometry of the foliation by constant Gaussian curvature surfaces of a hyperbolic end, and how it relates to the structures of its boundary at infinity and o…
The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance
Filippo Mazzoli
Making use of the dual Bonahon-Schläfli formula, we prove that the dual volume of the convex core of a quasi-Fuchsian manifold is bounded by an explicit constant, depending onl…
The dual Bonahon-Schläfli formula
Filippo Mazzoli
Given a differentiable deformation of geometrically finite hyperbolic -manifolds , the Bonahon-Schläfli formula expresses the derivative of the volume of the convex cor…
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)^{…