We introduce the notion of the joint spectral flow, which is a generalization
of the spectral flow, by using Segal’s model of the connective
-theory
spectrum. We apply it for some localization results of indices motivated by Witten’s
deformation of Dirac operators, and rephrase some analytic techniques in terms
of topology.
Keywords
index theory, spectral flow, localization, connective
$K$-theory, $KK$-theory
