Bordism invariance of the coarse index

Wulff, Christopher

doi:10.1090/S0002-9939-2012-11546-1

Bordism invariance of the coarse index
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by Christopher Wulff

Proc. Amer. Math. Soc. 140 (2012), 2693-2697

DOI: https://doi.org/10.1090/S0002-9939-2012-11546-1

Published electronically: February 21, 2012

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Abstract:

We prove bordism invariance of the coarse index of complex elliptic pseudodifferential operators. In our discussion we introduce directed $c$-bordisms, whose usefulness is illustrated in the context of existence of uniformly positive scalar curvature metrics on open manifolds.

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