Petal diagram from simple braids
Geometric Topology
2023-10-17 v1
Abstract
We construct petal diagrams from simple braids. This approach allows us to confirm a conjecture proposed by Kim, No and Yoo, which states that the petal number of the nontrivial torus knot () is at most . As a consequence, we deduce that the petal number of a nontrivial torus knot is equal to if and only if .
Keywords
Cite
@article{arxiv.2310.09569,
title = {Petal diagram from simple braids},
author = {Zipei Nie},
journal= {arXiv preprint arXiv:2310.09569},
year = {2023}
}
Comments
8 pages, 4 figures