11 citations · 12 across the 6 of their papers we have counts for
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math.GT2023
Integral filling volume, complexity and integral simplicial volume of 3-dimensional mapping tori
Federica Bertolotti, Roberto Frigerio
We show that the integral filling volume of a Dehn twist on a closed oriented surface vanishes, i.e. that the integral simplicial volume of the mapping torus with monodromy $f^…
math.GT2022
Homotopy Equivalences of 3-Manifolds
Federica Bertolotti
Let be an oriented closed -manifold. We prove that there exists a constant , depending only on the manifold , such that for every self-homotopy equivalence of $M…
math.GT2022
Length functions on mapping class groups and simplicial volumes of mapping tori
Federica Bertolotti, Roberto Frigerio
Let be a closed orientable manifold. We introduce two numerical invariants, called filling volumes, on the mapping class group of , which are defined in te…