116 citations · 1.7k across the 92 of their papers we have counts for
10 papers · 1 filter
The Atiyah conjecture and Artinian rings
Peter Linnell, Thomas Schick
Let G be a group such that its finite subgroups have bounded order, let d denote the lowest common multiple of the orders of the finite subgroups of G, and let K be a subfield of C…
Landweber exact formal group laws and smooth cohomology theories
Ulrich Bunke, Thomas Schick, Ingo Schroeder +1
The main aim of this paper is the construction of a smooth (sometimes called differential) extension \hat{MU} of the cohomology theory complex cobordism MU, using cycles for \hat{M…
A parametrized version of the Borsuk Ulam theorem
Thomas Schick, Robert Simon, Stanislav Spiez +1
The main result of this note is a parametrized version of the Borsuk-Ulam theorem. We show that for a continuous family of Borsuk-Ulam situations, parameterized by points of a comp…
Galois cohomology of completed link groups
Inga Blomer, Peter Linnell, Thomas Schick
In this paper we compute the Galois cohomology of the pro-p completion of primitive link groups. Here, a primitive link group is the fundamental group of a tame link in the 3-spher…
Smooth K-Theory
Ulrich Bunke, Thomas Schick
We construct an analytic multiplicative model of smooth K-theory. We further introduce the notion of a smooth K-orientation of a proper submersion and define the associated push-fo…
The strong Novikov conjecture for low degree cohomology
Bernhard Hanke, Thomas Schick
We show that for each discrete group G, the rational assembly map K_*(BG) \otimes Q \to K_*(C*_{max} G) \otimes \Q is injective on classes dual to the subring generated by cohomolo…
Buildings have finite asymptotic dimension
Jan Dymara, Thomas Schick
In this note, we show that the asymptotic dimension of any building is finite and equal to the asymptotic dimension of an apartment in that building.
On a conjecture of Daniel H. Gottlieb
Thomas Schick, Andreas Thom
We give a counterexample to a conjecture of D.H. Gottlieb and prove a strengthened version of it. The conjecture says that a map from a finite CW-complex X to an aspherical CW-comp…
On the Equivalence of Geometric and Analytic K-Homology
Paul Baum, Nigel Higson, Thomas Schick
We give a proof that the geometric K-homology theory for finite CW-complexes defined by Baum and Douglas is isomorphic to Kasparov's K-homology. The proof is a simplification of mo…
Duality for topological abelian group stacks and T-duality
Ulrich Bunke, Thomas Schick, Markus Spitzweck +1
v2: An additional assumption was added in Theorem 4.8. In order to show that a connected abelian group is admissible on the site of locally compact spaces we must in addition assum…