108 citations · 343 across the 27 of their papers we have counts for
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math.DG2016★ 1 cited
K-homology and Fredholm operators I: Dirac Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for Dirac operators, presenting the theorem as a computation of the K-homology of a point. This p…
math.DG2016
K-homology and Fredholm Operators II: Elliptic Operators
Paul Baum, Erik van Erp
This is an expository paper which gives a proof of the Atiyah-Singer index theorem for elliptic operators. Specifcally, we compute the geometric K-cycle that corresponds to the ana…
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)…