Reidemeister's theorem using transversality

TL;DR

This paper presents a new proof of Reidemeister's theorem by employing smooth functions and the concept of transversality to analyze knot diagrams.

Contribution

It introduces a novel approach to Reidemeister's theorem leveraging transversality, providing a different perspective from traditional combinatorial proofs.

Findings

Reidemeister moves can be derived using transversality techniques

The approach simplifies understanding of knot diagram transformations

New connections between differential topology and knot theory are established

Abstract

We recover Reidemeister's theorem using smooth functions and transversality.