116 citations · 1.7k across the 92 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…