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Paper detail

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.

preprint2020arXivOpen access
Hermann Schulz-BaldesTom Stoiber
math-phmath.MP
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Hermann Schulz-BaldesTom Stoiber

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