Pith. sign in

REVIEW 1 cited by

A lattice version of the Atiyah-Singer index theorem

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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 2007.06239 v3 pith:FR377SWF submitted 2020-07-13 math.DG hep-latmath-phmath.KTmath.MPmath.QA

Mayuko Yamashita This is my paper · ORCID
classification math.DGhep-latmath-phmath.KTmath.MPmath.QA
keywords latticetheoremindexatiyah-singermainoperatorsversionaffine
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We formulate and prove a lattice version of the Atiyah-Singer index theorem. The main theorem gives a $K$-theoretic formula for an index-type invariant of operators on lattice approximations of closed integral affine manifolds. We apply the main theorem to an index problem of Wilson-Dirac operators in lattice gauge theory.

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. $\eta$ invariant of massive Wilson Dirac operator and the index

    hep-lat 2025-01 conditional novelty 4.0 of 10

    The massive Wilson Dirac operator's eta invariant equals the continuum Dirac index on flat tori at sufficiently small lattice spacing, via K-theory.

Pith tools