椭圆算子的联合谱流及其指标的局部化

arXiv: K-Theory and Homology Pub Date : 2014-10-21 DOI:10.2140/akt.2016.1.43

Yosuke Kubota

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引用次数: 9

摘要

利用Segal的连接K理论谱模型，引入了联合谱流的概念，它是谱流的推广。我们将其应用于一些由狄拉克算子的Witten变形驱动的指标的局部化结果，并从拓扑学的角度重新表述了一些解析技术。

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

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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来源期刊

arXiv: K-Theory and Homology

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