Pith. sign in

REVIEW 1 cited by

The spectral localizer for semifinite spectral triples

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2004.13092 v2 pith:J3Z2MCGV submitted 2020-04-27 math-ph math.MP

classification math-phmath.MP
keywords spectrallocalizersemifinitetriplesapplicationapproachargumentderived
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Scalable System for Visual Analysis of Ocean Data

    cs.GR 2025-01 conditional novelty 4.0 of 10

    pyParaOcean is a ParaView-based visualization system with modules for eddy identification, salinity front tracking, depth profiles, and Cinema database overviews, validated by scaling studies on Bay of Bengal data.

Pith tools