116 citations · 1.7k across the 92 of their papers we have counts for
6 papers · 1 filter
Bordism, rho-invariants and the Baum-Connes conjecture
Paolo Piazza, Thomas Schick
Let G be a finitely generated discrete group. In this paper we establish vanishing results for rho-invariants associated to (i) the spin-Dirac operator of a spin manifold with posi…
On the topology of T-duality
Ulrich Bunke, Thomas Schick
In string theory, the concept of T-duality between two principal U(1)-bundles E_1 and E_2 over the same base space B, together with cohomology classes and $h_2\in…
A counterexample to the (unstable) Gromov-Lawson-Rosenberg conjecture
Thomas Schick
Doing surgery on the 5-torus, we construct a 5-dimensional closed spin-manifold M with , so that the index invariant in the KO-theory of the reduced -al…
Enlargeability and index theory
Bernhard Hanke, Thomas Schick
Let M be a closed enlargeable spin manifold. We show non-triviality of the universal index obstruction in the K-theory of the maximal -algebra of the fundamental group of M. O…
Finite group extensions and the Atiyah conjecture
Peter Linnell, Thomas Schick
The Atiyah conjecture for a discrete group G states that the -Betti numbers of a finite CW-complex with fundamental group G are integers if G is torsion-free and are rational…
A K-Theoretic Proof of Boutet de Monvel's Index Theorem for Boundary Value Problems
Severino T. Melo, Thomas Schick, Elmar Schrohe
We study the C*-closure A of the algebra of all operators of order and class zero in Boutet de Monvel's calculus on a compact connected manifold X with non-empty boundary. We find…