Pith. sign in

REVIEW 1 cited by

Classification of tangent and transverse knots in bracket-generating distributions

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 2210.00582 v1 pith:WUVMA2ON submitted 2022-10-02 math.DG

Javier Martínez-Aguinaga , Álvaro del Pino This is my paper · ORCID
classification math.DG
keywords transversebracket-generatingcurvesdimensionembeddedknotsproveambient
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Consider a manifold, of dimension greater than 3, equipped with a bracket-generating distribution. In this article we prove complete h-principles for embedded regular horizontal curves and for embedded transverse curves. These results contrast with the 3-dimensional contact case, where the full h-principle for transverse/legendrian knots is known not to hold. We also prove analogous statements for immersions, with no assumptions on the ambient dimension.

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. Fat distributions with Reeb directions need not be complex contact

    math.GT 2026-03 reject novelty 8.0 of 10

    There exists a global fat (4,6)-distribution on R^6 that has two Reeb directions but is nowhere diffeomorphic to a complex contact structure.

Pith tools