116 citations · 1.7k across the 92 of their papers we have counts for
5 papers · 1 filter
L2-index theorem for manifolds with boundary
Thomas Schick
Suppose M is a compact manifold with boundary. Let N be a normal covering of M. Suppose (A,T) is an elliptic differential boundary value problem on M with lift (\tilde A,\tilde T)…
Analysis and Geometry of Boundary-Manifolds of Bounded Geometry
Thomas Schick
In this paper, we investigate analytical and geometric properties of certain non-compact boundary-manifolds, namely manifolds of bounded geometry. One result are strong Bochner typ…
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…
L2-determinant class and approximation of L2-Betti numbers
Thomas Schick
A standing conjecture in L2-cohomology is that every finite CW-complex X is of L2-determinant class. In this paper, we prove this whenever the fundamental group belongs to a large…
L2-torsion of hyperbolic manifolds
Eckehard Hess, Thomas Schick
The L^2-torsion is an invariant defined for compact L^2-acyclic manifolds of determinant class, for example odd dimensional hyperbolic manifolds. It was introduced by John Lott and…