31 citations · 151 across the 36 of their papers we have counts for
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An equivariant Atiyah-Patodi-Singer index theorem for proper actions II: the -theoretic index
Peter Hochs, Bai-Ling Wang, Hang Wang
Consider a proper, isometric action by a unimodular locally compact group on a Riemannian manifold with boundary, such that is compact. Then an equivariant Dirac-type…
An index theorem for higher orbital integrals
Peter Hochs, Yanli Song, Xiang Tang
Recently, two of the authors of this paper constructed cyclic cocycles on Harish-Chandra's Schwartz algebra of linear reductive Lie groups that detect all information in the -th…
An equivariant orbifold index for proper actions
Peter Hochs, Hang Wang
For a proper, cocompact action by a locally compact group of the form , with compact, we define an -equivariant index of -transversally elliptic oper…
Positive scalar curvature and an equivariant Callias-type index theorem for proper actions
Hao Guo, Peter Hochs, Varghese Mathai
For a proper action by a locally compact group on a manifold with a -equivariant Spin-structure, we obtain obstructions to the existence of complete -invariant Rieman…