There is the general principle to consider a classical invariant of a closed Riemannian
manifold M and to define its analog for the universal covering M taking the action of the …

Suppose ̄M is a compact connected odd-dimensional manifold with boundary, whose
interior M comes with a complete hyperbolic metric of finite volume. We will show that the …

For a closed Riemannian manifold (M, g) we extend the definition of analytic and
Reidemeister torsion associated to a unitary representation of π 1 (M) on a finite …

In this paper we study the problem of approximation of the $ L^ 2$-topological invariants by
their finite dimensional analogues. We obtain generalizations of the theorem of L\" uck …

We prove a gluing formula for the analytic torsion on noncompact (ie, singular) Riemannian
manifolds. Let M= U∪∂ M 1 M 1, where M 1 is a compact manifold with boundary and U …

“L -invariants of regular coverings of compact manifolds and CW-complexes” Page 1 “L 2 -invariants
of regular coverings of compact manifolds and CW-complexes” Wolfgang Lück Fachbereich …

In this paper, we prove that theL2Betti numbers of an amenable covering space can be
approximated by the average Betti numbers of a regular exhaustion, proving a conjecture in …

We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a
graph with a free action of a discrete group, as defined by Sunada (Sun). A main result in …

We prove a formula relating the analytic torsion and Reidemeister torsion on manifolds with
boundary in the general case when the metric is not necessarily a product near the …

In 1994, Wolfgang Lück [15] proved the beautiful theorem that, if X is a finite simplicial
complex with residually finite fundamental group, then the L2-Betti numbers of the universal …