43 citations · 377 across the 38 of their papers we have counts for
17 papers · 1 filter
Manifolds homotopy equivalent to certain torus bundles over lens spaces
James F. Davis, Wolfgang Lueck
We compute the topological simple structure set of closed manifolds which occur as total spaces of flat bundles over lens spaces S^l/(Z/p) with fiber an n-dimensjional torus T^n fo…
Groups and polytopes
Stefan Friedl, Wolfgang Lück, Stephan Tillmann
In a series of papers the authors associated to an -acyclic group an invariant that is a formal difference of polytopes in the vector space $H_1(Γ;\Bbb{R}…
Universal -torsion, polytopes and applications to -manifolds
Stefan Friedl, Wolfgang Lück
Given an -acyclic connected finite -complex, we define its universal -torsion in terms of the chain complex of its universal covering. It takes values in the weak Whi…
-Euler characteristics and the Thurston norm
Stefan Friedl, Wolfgang Lück
We assign to a finite -complex and an element in its first cohomology group a twisted version of the -Euler characteristic and study its main properties. In the case of an…
On the Farrell-Jones Conjecture for Waldhausen's -theory
Nils-Edvin Enkelmann, Wolfgang Lück, Malte Pieper +2
We prove the Farrell-Jones Conjecture for (non-connective) -theory with coefficients and finite wreath products for hyperbolic groups, CAT(0)-groups, cocompact lattices in almos…
The L^2-torsion function and the Thurston norm of 3-manifolds
Stefan Friedl, Wolfgang Lück
Let M be an oriented irreducible 3-manifold with infinite fundamental group and empty or toroidal boundary. Consider any element ϕin the first cohomology of M with integral coeffic…
The -Alexander torsion is symmetric
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We show that the -Alexander torsion of a 3-manifold is symmetric. This can be viewed as a generalization of the symmetry of the Alexander polynomial of a knot.
Three flavors of twisted invariants of knots
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
The Alexander polynomial of a knot has been generalized in three different ways to give twisted invariants. The resulting invariants are usually referred to as twisted Alexander po…
The L^2-Alexander torsion of 3-manifolds
Jérôme Dubois, Stefan Friedl, Wolfgang Lück
We introduce -Alexander torsions for 3-manifolds, which can be viewed as a generalization of the -Alexander polynomial of Li--Zhang. We state the -Alexander torsions…
On the growth of Betti numbers in -adic analytic towers
Nicolas Bergeron, Peter Linnell, Wolfgang Lück +1
We study the asymptotic growth of Betti numbers in tower of finite covers and provide simple proofs of approximation results, which were previously obtained by Calegari-Emerton, in…
The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups
Arthur Bartels, F. T. Farrell, Wolfgang Lueck
Let G be a cocompact lattice in a virtually connected Lie group or the fundamental group of a 3-manifold. We prove the K-theoretic Farrell-Jones Conjecture (up to dimension one) an…
The Farrell-Hsiang method revisited
Arthur Bartels, Wolfgang Lueck
We present a sufficient condition for groups to satisfy the Farrell-Jones Conjecture in algebraic K-theory and L-theory. The condition is formulated in terms of finite quotients of…
K- and L-theory of group rings
Wolfgang Lueck
This article will explore the K- and L-theory of group rings and their applications to algebra, geometry and topology. The Farrell-Jones Conjecture characterizes K- and L-theory gr…
The Borel Conjecture for hyperbolic and CAT(0)-groups
Arthur Bartels, Wolfgang Lueck
We prove the Borel Conjecture for a class of groups containing word-hyperbolic groups and groups acting properly, isometrically and cocompactly on a finite dimensional CAT(0)-space…
Various L2-signatures and a topological L2-signature theorem
Wolfgang Lueck, Thomas Schick
For a normal covering over a closed oriented topological manifold we give a proof of the L2-signature theorem with twisted coefficients, using Lipschitz structures and the Lipschit…
Approximating L^2-signatures by their compact analogues
Wolfgang Lueck, Thomas Schick
:Let G be a group together with an descending nested sequence of normal subgroups G=G_0, G_1, G_2 G_3, ... of finite index [G:G_k] such the intersection of the G_k-s is the trivial…
Novikov-Shubin invariants for arbitrary group actions and their positivity
Wolfgang Lueck, Holger Reich, Thomas Schick
We extend the notion of Novikov-Shubin invariant for free G-CW-complexes of finite type to spaces with arbitrary G-actions and prove some statements about their positivity. In part…