Florian Funke

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20122022

most citedAlexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups

17 citations · 33 across the 11 of their papers we have counts for

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math.GR2017

The $L^{2}$ -torsion polytope of amenable groups

Florian Funke

We introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is the h…

math.GR2016★ 17 cited

Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups

Florian Funke, Dawid Kielak

We investigate Friedl-Lück's universal $L^{2}$ -torsion for descending HNN extensions of finitely generated free groups, and so in particular for $F_{n}$ -by- $Z$ groups. This in…

The L2-torsion polytope of amenable groups

Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups

The $L^{2}$ -torsion polytope of amenable groups