The paper establishes relative analogues of Hanke-Schick index obstruction theorems and shows that, under group assumptions, relative K-homology classes are almost flat modulo torsion.
Positive scalar curvature and a new index theory for noncompact manifolds
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abstract
In this article, we develop a new index theory for noncompact manifolds endowed with an admissible exhaustion by compact sets. This index theory allows us to provide examples of noncompact manifolds with exotic positive scalar curvature phenomena.
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math.KT 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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The relative Mishchenko--Fomenko higher index and almost flat bundles II: Almost flat index pairing
The paper establishes relative analogues of Hanke-Schick index obstruction theorems and shows that, under group assumptions, relative K-homology classes are almost flat modulo torsion.