Mutation and instanton knot homology

TL;DR

This paper proves that instanton knot homology remains unchanged under knot mutation, highlighting a key invariance property in knot theory.

Contribution

It establishes mutation invariance of instanton knot homology, building on previous work and providing new insights into knot invariants.

Findings

Instanton knot homology is mutation-invariant.

Supports the robustness of instanton invariants under knot transformations.

Enhances understanding of knot invariants in low-dimensional topology.

Abstract

We show that instanton knot homology is mutation-invariant, as a consequence of earlier work of the third author.