On Carvalho's K-theoretic formulation of the cobordism invariance of the index
Sergiu Moroianu
Abstract
We give an analytic proof of the fact that the index of an elliptic operator on the boundary of a compact manifold vanishes when the principal symbol comes from the restriction of a K-theory class from the interior. The proof uses noncommutative residues inside the calculus of cusp pseudodifferential operators of Melrose.
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