Filippo Mazzoli

activity

20182025

collaborators

3 papers

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.DG2019

Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic $3$ -manifolds

Filippo Mazzoli

We study the geometry of the foliation by constant Gaussian curvature surfaces $(Σ_{k})_{k}$ of a hyperbolic end, and how it relates to the structures of its boundary at infinity and o…

math.DG2018

The dual Bonahon-Schläfli formula

Filippo Mazzoli

Given a differentiable deformation of geometrically finite hyperbolic $3$ -manifolds $(M_{t})_{t}$ , the Bonahon-Schläfli formula expresses the derivative of the volume of the convex cor…

Topology of the space of d-pleated surfaces

Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic 3-manifolds

The dual Bonahon-Schläfli formula

Topology of the space of $d$ -pleated surfaces

Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic $3$ -manifolds