108 citations · 343 across the 27 of their papers we have counts for
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math.DG2007★ 46 cited
Noncommutative Geometry Approach to Principal and Associated Bundles
Paul F. Baum, Piotr M. Hajac, Rainer Matthes +1
We recast basic topological concepts underlying differential geometry using the language and tools of noncommutative geometry. This way we characterize principal (free and proper)…
math.KT2007★ 108 cited
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…