Pith. sign in

REVIEW 1 cited by

Geometrization of 3-dimensional orbifolds

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/0010184 v3 pith:FDCXOD4W submitted 2000-10-18 math.GT

Michel Boileau , Bernhard Leeb , Joan Porti This is my paper · ORCID
classification math.GT
keywords actionorbifoldannouncedarticleatoroidalcompactconjugateconnected
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The purpose of this article is to give a proof of the Orbifold Theorem announced by Thurston in late 1981: If $O$ is a compact, connected, orientable, irreducible and topologically atoroidal 3-orbifold with non-empty ramification locus, then $O$ is geometric. As a corollary, any smooth orientation preserving non-free finite group action on $S^3$ is conjugate to an orthogonal action.

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. Expansion joints in hyperbolic manifolds

    math.GT 2025-11 conditional novelty 7.0 of 10

    Cone-deforming an ideal arc through 'expansion joints' interpolates between stacked Borromean ring complements and lantern manifolds, and yields cone deformations of highly twisted 2-bridge unknotting tunnels.

Pith tools