Pith. sign in

REVIEW 1 cited by

On the Durdevic approach to quantum principal bundles

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 2404.07944 v3 pith:L3GZ3DZT submitted 2024-04-11 math.QA math-phmath.MPmath.RA

Antonio Del Donno , Emanuele Latini , Thomas Weber This is my paper · ORCID
classification math.QAmath-phmath.MPmath.RA
keywords calculiquantumbundlescompletedurdevicformsprincipalalgebras
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We revisit and extend the Durdevic theory of complete calculi on quantum principal bundles. In this setting one naturally obtains a graded Hopf-Galois extension of the higher order calculus and an intrinsic decomposition of degree 1-forms into horizontal and vertical forms. This proposal is appealing, since it is consistently equipped with a canonical braiding and exactness of the Atiyah sequence is guaranteed. Moreover, we provide examples of complete calculi, including the noncommutative 2-torus, the quantum Hopf fibration and differential calculi on crossed product algebras.

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. On quantum $G$-structures

    math.QA 2026-06 accept novelty 6.0 of 10

    A quantum G-structure, defined as a reduction of a quantum frame resolution, itself forms a quantum frame resolution under a covariant first-order differential calculus.

Pith tools