Conformal invariance of the writhe of a knot

TL;DR

This paper provides a new proof demonstrating that the writhe of a knot remains unchanged under conformal transformations, reaffirming a classical theorem in knot theory.

Contribution

It offers a novel proof of the conformal invariance of knot writhe, originally established by Banchoff and White in 1975.

Findings

Writhe of a knot is conformally invariant.

New proof simplifies understanding of knot invariance.

Reaffirms classical theorem with a different approach.

Abstract

We give a new proof of an old theorem by Banchoff and White 1975 that claims that the writhe of a knot is conformally invariant.