Genus non-increasing totally positive unknotting number
Geometric Topology
2024-06-24 v1
Abstract
The genus non-increasing totally positive unknotting number is the minimum number of crossing changes that transform a knot into the unknot, such that all the crossing changes are positive-to-negative crossing changes that do not increase the genus. We show that the genus non-increasing totally positive unknotting number can be arbitrary large for genus one knots.
Keywords
Cite
@article{arxiv.2406.14918,
title = {Genus non-increasing totally positive unknotting number},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:2406.14918},
year = {2024}
}
Comments
10 pages, 3 Figures