W. Lück

activity

19972023

most citedL^2-torsion of hyperbolic manifolds of finite volume

43 citations · 377 across the 38 of their papers we have counts for

collaborators

Showing 2016 · math.GTShow all

4 papers · 2 filters

math.GT2016

Groups and polytopes

Stefan Friedl, Wolfgang Lück, Stephan Tillmann

In a series of papers the authors associated to an $L^{2}$ -acyclic group $Γ$ an invariant $P (Γ)$ that is a formal difference of polytopes in the vector space $H_1(Γ;\Bbb{R}…

math.GT2016★ 14 cited

Universal $L^{2}$ -torsion, polytopes and applications to $3$ -manifolds

Stefan Friedl, Wolfgang Lück

Given an $L^{2}$ -acyclic connected finite $C W$ -complex, we define its universal $L^{2}$ -torsion in terms of the chain complex of its universal covering. It takes values in the weak Whi…

math.GT2016★ 9 cited

$L^{2}$ -Euler characteristics and the Thurston norm

Stefan Friedl, Wolfgang Lück

We assign to a finite $C W$ -complex and an element in its first cohomology group a twisted version of the $L^{2}$ -Euler characteristic and study its main properties. In the case of an…

math.GT2016★ 7 cited

On the Farrell-Jones Conjecture for Waldhausen's $A$ -theory

Nils-Edvin Enkelmann, Wolfgang Lück, Malte Pieper +2

We prove the Farrell-Jones Conjecture for (non-connective) $A$ -theory with coefficients and finite wreath products for hyperbolic groups, CAT(0)-groups, cocompact lattices in almos…

Groups and polytopes

Universal L2-torsion, polytopes and applications to 3-manifolds

L2-Euler characteristics and the Thurston norm

On the Farrell-Jones Conjecture for Waldhausen's A-theory

Universal $L^{2}$ -torsion, polytopes and applications to $3$ -manifolds

$L^{2}$ -Euler characteristics and the Thurston norm

On the Farrell-Jones Conjecture for Waldhausen's $A$ -theory