半有限谱三元组的谱定位器

arXiv: Mathematical Physics Pub Date : 2020-04-27 DOI:10.1090/proc/15230

H. Schulz-Baldes, T. Stoiber

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引用次数: 10

摘要

将谱定位器的概念推广到具有半有限谱三元组的配对。通过谱流参数，证明了任何半有限索引对都等于谱定位器的签名。作为应用，导出了拓扑绝缘子的弱不变量公式。这为它们的数值计算提供了一种新的方法。

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The spectral localizer for semifinite spectral triples

The notion of spectral localizer is extended to pairings with semifinite spectral triples. By a spectral flow argument, any semifinite index pairing is shown to be equal to the signature of the spectral localizer. As an application, a formula for the weak invariants of topological insulators is derived. This provides a new approach to their numerical evaluation.

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arXiv: Mathematical Physics

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