ScholarLens Back to search
1999•Canadian Mathematical BulletinOpen access

Homotopy of Knots and the Alexander Polynomial

David Austin, Dale Rolfsen

Open full text 3 citations

Abstract

Abstract Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.

Open-access reader

About this research paper

What this paper is about

Abstract Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract Any knot in a 3-dimensional homology sphere is homotopic to a knot with trivial Alexander polynomial.

Key concepts: Mathematics, Alexander polynomial, Knot (papermaking), Homotopy, Knot polynomial, Homology (biology), Pure mathematics, Jones polynomial

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Homotopy of Knots and the Alexander Polynomial — Research Paper | ScholarLens