Bordism Invariance of the Coarse Index

Details Bordism Invariance of the Coarse Index Bordism Invariance of the Coarse Index

2011-03-19

arxiv.org/abs/1103.3780v1

Mathematics

K-Theory and Homology

Scientific paper

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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