Alessandro Sisto

collaborators

6 papers

math.GT2026

Distinguishing Gromov-Thurston manifolds using algebraic Dehn fillings

Alessandro Sisto, Gabriele Viaggi

We develop criteria to distinguish the homotopy types of Gromov-Thurston manifolds. Our approach is based on a description of their fundamental groups as virtual Dehn fillings of r…

math.GT2026

Cusped spaces for hierarchically hyperbolic groups, and applications to Dehn filling quotients

Giorgio Mangioni, Alessandro Sisto

We introduce a construction that simultaneously yields cusped spaces of relatively hyperbolic groups, and spaces quasi-isometric to Teichmueller metrics. We use this to study Dehn-…

math.GT2026

Drilling hyperbolic groups

Daniel Groves, Peter HaÃ¯ssinsky, Jason F. Manning +3

Given a hyperbolic group $G$ and a maximal infinite cyclic subgroup $⟨ g ⟩$ , we define a {\it drilling of $G$ along $g$ }, which is a relatively hyperbolic group pair $(…

math.GR2026

Non-solutions to mixed equations in acylindrically hyperbolic groups coming from random walks

Henry Bradford, Alessandro Sisto

A mixed equation in a group $G$ is given by a non-trivial element $w (x)$ of the free product $G * Z$ , and a solution is some $g \in G$ such that $w (g)$ is the identity.…

math.GR2025

Cohomological characterisation of hyperbolicity

Francesco Milizia, Nansen Petrosyan, Alessandro Sisto +1

For any geodesic metric space $X$ , we give a complete cohomological characterisation of the hyperbolicity of $X$ in terms of vanishing of its second $ℓ^{\infty}$ -cohomology. We…

math.GR2025

Power quotients of surface groups and mapping class groups

Let $I^$ be the fundamental group of a closed, orientable, hyperbolic surface $S$ . The $n$ -power quotient, $I^ (n)$ , is the quotient of $I^$ by the $n$ th powers of simple closed cur…