Instanton homology and the Alexander polynomial

Abstract

We prove that the instanton knot homology KHI(K) as defined by Kronheimer and Mrowka (Knots, sutures and excision, preprint), recovers the Alexander polynomial for knots K in the 3-sphere.

17 pages, minor reorganization

References in corpus (1)

• Knots, sutures and excision

Cited by in corpus (2)

• Instanton Floer homology, sutures, and Heegaard diagrams
• SU(2) representations and a large surgery formula