Document Type

Article

Publication Date

4-1-2022

Published In

Bulletin Of The London Mathematical Society

Abstract

For each we give g > 0 infinitely many knots that are strongly negative amphichiral, hence rationally slice and representing 2-torsion in the smooth concordance group, yet which do not bound any locally flatly embedded surface in the 4-ball with genus less than or equal to g. Our examples also allow us to answer a question about the four-dimensional clasp number of knots.

Comments

This work is a preprint that is freely available courtesy of Wiley. The version of record can be freely accessed via Wiley's Content Sharing service.

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