On the stable 4-genus of knots with indefinite Seifert form

TL;DR

This paper characterizes knots for which the stable topological 4-genus equals the genus under certain conditions on Seifert surfaces, advancing understanding of knot genus invariants.

Contribution

It provides a new characterization of knots with equal stable topological 4-genus and genus based on assumptions about Seifert surfaces.

Findings

Identifies conditions under which stable 4-genus equals genus

Provides a classification for knots with indefinite Seifert form

Advances the theoretical understanding of knot genus invariants

Abstract

Under a simple assumption on Seifert surfaces, we characterise knots whose stable topological 4-genus coincides with the genus.