论文标题

半光谱三元组的光谱定位器

The spectral localizer for semifinite spectral triples

论文作者

Schulz-Baldes, Hermann, Stoiber, Tom

论文摘要

光谱定位器的概念扩展到具有半五次光谱三元组的配对。通过光谱流参数,任何半决赛指数配对都与光谱定位器的特征相等。作为应用,得出了拓扑绝缘子弱不变的公式。这为他们的数值评估提供了一种新的方法。

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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