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2016 The joint spectral flow and localization of the indices of elliptic operators
Yosuke Kubota
Ann. K-Theory 1(1): 43-83 (2016). DOI: 10.2140/akt.2016.1.43

Abstract

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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Yosuke Kubota. "The joint spectral flow and localization of the indices of elliptic operators." Ann. K-Theory 1 (1) 43 - 83, 2016. https://doi.org/10.2140/akt.2016.1.43

Information

Received: 25 December 2014; Accepted: 30 December 2014; Published: 2016
First available in Project Euclid: 12 December 2017

zbMATH: 1325.19005
MathSciNet: MR3514936
Digital Object Identifier: 10.2140/akt.2016.1.43

Subjects:
Primary: 19K56
Secondary: 19K35 , 19L41

Keywords: $KK$-theory , connective $K$-theory , Index theory , Localization , spectral flow

Rights: Copyright © 2016 Mathematical Sciences Publishers

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