Pith. sign in

REVIEW 1 cited by

On Spin Structures and Dirac Operators on the Noncommutative Torus

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 math/0605191 v1 pith:GIRAVMQD submitted 2006-05-08 math.QA math-phmath.MP

Mario Paschke , Andrzej Sitarz This is my paper · ORCID
classification math.QAmath-phmath.MP
keywords diracspinnoncommutativeoperatorsstructurestoruscaseclassical
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that similarly as in the classical case the spectrum of the Dirac operator depends on the spin structure.

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. Finite spectral triples for the fuzzy torus

    math.QA 2019-08 accept novelty 6.0 of 10

    A finite spectral triple for the fuzzy torus is constructed whose Dirac spectrum is the q-integer analogue of the commutative flat torus spectrum, for all four spin structures.

Pith tools