29 citations · 77 across the 7 of their papers we have counts for
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math.KT2012★ 12 cited
Positive curvature, partial vanishing theorems, and coarse indices
John Roe
Let M be a complete Riemannian manifold, D a Dirac-type operator on M whose Weitzenbock curvature is uniformly positive on the complement of a subset Z of M. We show that the coars…
math.KT2012★ 2 cited
Sheaf theory and Paschke duality
John Roe, Paul Siegel
Paschke duality identifies the K-homology of a space X with the K-theory of a certain dual C*-algebra. We show that Paschke's dual algebra is in a natural way the algebra of sectio…