Classical lifting processes and multiplicative vector fields

Kirill Mackenzie; Ping Xu

Classical lifting processes and multiplicative vector fields

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 dg-ga/9710030 v1 pith:43ESF3XI submitted 1997-10-28 dg-ga math.DG

Kirill Mackenzie , Ping Xu This is my paper · ORCID

classification dg-gamath.DG

keywords calculusclassicalfieldsliftingmultiplicativevectorarbitraryassociated

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.

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

On Multiplicative Weightings for Lie Groupoids and Lie Algebroids
math.DG 2025-08 unverdicted novelty 7.0 of 10

The submission pairs a differential-geometry abstract on Lie groupoid weightings with an unrelated astrophysics manuscript, leaving the claimed results unsupported by the provided text.

Pith tools