Pith. sign in

REVIEW

Vertex distortion detects the unknot

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 2110.14119 v2 pith:P3G4LVKF submitted 2021-10-27 math.GT

Marion Campisi , Nicholas Cazet , David Crncevic , Tasha Fellman , Phillip Kessler , Nikolas Rieke , Vatsal Srivastava , Luis Torres This is my paper · ORCID
classification math.GT
keywords distortionvertextrivialunknotboundconjecturefirstknot
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The first two authors introduced vertex distortion and showed that the vertex distortion of the unknot is trivial. It was conjectured that the vertex distortion of a knot is trivial if and only if the knot is trivial. We will use Denne-Sullivan's bound on Gromov distortion to bound the vertex distortion of nontrivial lattice knots. We will then conclude that trivial vertex distortion implies the unknot, proving the conjecture. Additionally, the first conjecture in vertex distortion's debut article is proven and a vertex distortion calculator is given.

Discussion (0). Continue with ORCID to comment.

Pith tools