Gabriele Viaggi

collaborators

4 papers

math.GT2025

Effective length-projection bounds for hyperbolic 3-manifolds diffeomorphic to $S \times R$

Gabriele Viaggi

We give a formula with explicit constants relating the subsurface projection $d_{Y} (I^½^{-}, I^½^{+})$ of the end invariants $I^½^{-}, I^½^{+}$ of a hyperbolic 3-manifold $Q$ diffeomorphic to $S\t…

math.GT2024

Effective hyperbolization and length bounds for Heegaard splittings

Peter Feller, Alessandro Sisto, Gabriele Viaggi

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

math.GT2024

Geometry of hyperconvex representations of surface groups

James Farre, Beatrice Pozzetti, Gabriele Viaggi

We study the geometry of hyperconvex representations of surface groups in $PSL (d, C)$ and their deformation spaces: We produce a natural holomorphic extension of the…

math.GT2024

Topological and geometric restrictions on hyperconvex representations

James Farre, Beatrice Pozzetti, Gabriele Viaggi

We study the geometry of hyperconvex representations of hyperbolic groups in $PSL (d, C)$ and establish two structural results: a group admitting a hyperconvex represe…

Effective length-projection bounds for hyperbolic 3-manifolds diffeomorphic to S×R

Effective hyperbolization and length bounds for Heegaard splittings

Geometry of hyperconvex representations of surface groups

Topological and geometric restrictions on hyperconvex representations

Effective length-projection bounds for hyperbolic 3-manifolds diffeomorphic to $S \times R$