Work

A partial resolution of Hedden’s conjecture on satellite homomorphisms

Year: 2025

Type: article

Abstract: A pattern knot in a solid torus defines a self-map of the smooth knot concordance group. We prove that if the winding number of a pattern is even but not divisible by 8, then the corresponding map is not a homomorphism, thus partially establishing a conjecture of Hedden.

Source: Mathematical Proceedings of the Cambridge Philosophical Society

DOI: 10.1017/s0305004125101485

Authors: RANDALL JOHANNINGSMEIER, HILLARY KIM, ALLISON N. MILLER

Institution: Swarthmore College

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funder: Swarthmore College