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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-…