116 citations · 1.7k across the 92 of their papers we have counts for
8 papers · 1 filter
Hodge Theory on Metric Spaces
Laurent Bartholdi, Thomas Schick, Nat Smale +2
Hodge theory is a beautiful synthesis of geometry, topology, and analysis, which has been developed in the setting of Riemannian manifolds. On the other hand, spaces of images, whi…
A Geometric Description of Equivariant K-Homology for Proper Actions
Paul Baum, Nigel Higson, Thomas Schick
Let G be a discrete group and let X be a G-finite, proper G-CW-complex. We prove that Kasparov's equivariant K-homology groups KK^G(C_0(X),\C) are isomorphic to the geometric equiv…
Homotopy groups of the moduli space of metrics of positive scalar curvature
Boris Botvinnik, Bernhard Hanke, Thomas Schick +1
We prove that for many degrees in a stable range the homotopy groups of the moduli space of metrics of positive scalar curvature on S^n and on other manifolds are non-trivial. This…
Differential orbifold K-Theory
Ulrich Bunke, Thomas Schick
We construct differential equivariant K-theory of representable smooth orbifolds as a ring valued functor with the usual properties of a differential extension of a cohomology theo…
A geometric description of smooth cohomology
Ulrich Bunke, Matthias Kreck, Thomas Schick
In this paper we give a geometric cobordism description of smooth integral cohomology. This model allows for simple descriptions of both the cup product and the integration, so tha…
Spaces with vanishing $l\sp 2$-homology and their fundamental groups (after Farber and Weinberger)
Nigel Higson, John Roe, Thomas Schick
The "zero in the spectrum conjecture" asserted (in its strongest form) that for any manifold M zero should be in the l2-spectrum of the Laplacian (on forms) of the universal coveri…
Equivariant geometric K-homology for compact Lie group actions
Paul Baum, Herve Oyono-Oyono, Thomas Schick +1
Let G be a compact Lie-group, X a compact G-CW-complex. We define equivariant geometric K-homology groups K^G_*(X), using an obvious equivariant version of the (M,E,f)-picture of B…
Uniqueness of smooth extensions of generalized cohomology theories
Ulrich Bunke, Thomas Schick
We provide an axiomatic framework for the study of smooth extensions of generalized cohomology theories. Our main results are about the uniqeness of smooth extensions, and the iden…