The Joint Spectral Flow and Localization of the Indices of Elliptic Operators
classification
🧮 math.KT
keywords
flowspectralindicesjointlocalizationoperatorssomeanalytic
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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 $K$-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.
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