Alessandro Sisto

activity

20242026

collaborators

Showing 2024Show all

3 papers · 1 filter

math.GR2024

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.GT2024

Effective hyperbolization and length bounds for Heegaard splittings

Peter Feller, Alessandro Sisto, Gabriele Viaggi

We consider 3-manifolds given as Heegaard splittings $M = H^{-} \cup_{Σ} H^{+}$ with the aim to describe the hyperbolic metric of $M$ under topological conditions on the splitting guaranteei…

math.GT2024

Drilling hyperbolic groups

Daniel Groves, Peter Haïssinsky, 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 $(…