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arXiv · 1410.5569

The Joint Spectral Flow and Localization of the Indices of Elliptic Operators

Yosuke Kubota
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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. 2014-10-22. The Joint Spectral Flow and Localization of the Indices of Elliptic Operators. https://doi.org/10.2140/akt.2016.1.43

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