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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
Linear volume bounds for drilling and filling
Gabriele Viaggi
We prove uniform linear bounds on the volume variation under drilling and filling operations on finite volume hyperbolic 3-manifolds.