43 citations · 377 across the 38 of their papers we have counts for
11 papers · 1 filter
A vanishing theorem for tautological classes of aspherical manifolds
Fabian Hebestreit, Markus Land, Wolfgang Lück +1
Tautological classes, or generalised Miller-Morita-Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational c…
Approximately fibering a manifold over an aspherical one
Tom Farrell, Wolfgang Lueck, Wolfgang Steimle
The paper is devoted to the problem when a map from some closed connected manifold to an aspherical closed manifold approximately fibers, i.e., is homotopic to Manifold Approximate…
On complex highly regular embeddings and the extended Vassiliev conjecture
Pavle V. M. Blagojević, Frederick R. Cohen, Wolfgang Lück +1
A continuous map C^d -> C^N is a complex k-regular embedding if any k pairwise distinct points in C^d are mapped by f into k complex linearly independent vectors in C^N. Our centra…
Equivariant principal bundles and their classifying spaces
Bernardo Uribe, Wolfgang Lueck
We consider Γ-equivariant principal G-bundles over proper Γ-CW-complexes with prescribed family of local representations. We construct and analyze their classifying spaces for loca…
Equivariant Topology of Configuration Spaces
Pavle V. M. Blagojević, Wolfgang Lück, Günter M. Ziegler
We study the Fadell-Husseini index of the configuration space F(R^d,n) with respect to different subgroups of the symmetric group S_n. For p prime and d>0, we completely determine…
Approximating L^2-invariants and homology growth
Wolfgang Lueck
In this paper we consider the asymptotic behavior of invariants such as Betti numbers, minimal numbers of generators of singular homology, the order of the torsion subgroup of sing…
Dwyer-Kan homotopy theory of enriched categories
Fernando Muro
We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivale…
Topological K-theory of the group C*-algebra of a semi-direct product Z^n rtimes Z/m for a free conjugation action
Martin Langer, Wolfgang Lueck
We compute the topological K-theory of the group C*-algebra C*_r(G) for a group extension Z^n->G->Z/m provided that the conjugation action of Z/m on Z^n is free outside the origin.
Euler Characteristics of Categories and Homotopy Colimits
Thomas M. Fiore, Wolfgang Lück, Roman Sauer
In a previous article, we introduced notions of finiteness obstruction, Euler characteristic, and L^2-Euler characteristic for wide classes of categories. In this sequel, we prove…
L2-torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence
Wolfgang Lueck, Roman Sauer, Christian Wegner
We show an invariance result for the L2-torsion of groups under uniform measure equivalence provided a measure-theoretic version of the determinant conjecture holds. The measure-th…
Commuting homotopy limits and smash products
Wolfgang Lueck, Holger Reich, Marco Varisco
In general the processes of taking a homotopy inverse limit of a diagram of spectra and smashing spectra with a fixed space do not commute. In this paper we investigate under what…