Reidemeister's theorem using transversality
Geometric Topology
2024-06-27 v1 Algebraic Topology
Abstract
We recover Reidemeister's theorem using smooth functions and transversality.
Cite
@article{arxiv.2406.18203,
title = {Reidemeister's theorem using transversality},
author = {Hoel Queffelec},
journal= {arXiv preprint arXiv:2406.18203},
year = {2024}
}
Comments
My goal here was to give an easily readable proof for the Reidemeister theorem based on transversality techniques. I hope it can prove useful when learning or teaching knot theory, or as a gentle introduction to the use of transversality for knots and knotted surfaces. The paper will appear in the Bulletin of the Australian Mathematical Society