Positive scalar curvature and a new index theory for noncompact manifolds

By Stanley S. Chang, Shmuel Weinbeger, Guoliang Yu. 2015

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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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3411fcfbcfa5897e4d0dc3a7b83a30ab948064c1