On the values taken by slice torus invariants

FELLER, PETER; LEWARK, LUKAS; LOBB, ANDREW

Abstract

We study the space of slice torus invariants. In particular we characterise the set of values that slice torus invariants may take on a given knot in terms of the stable smooth slice genus. Our study reveals that the resolution of the local Thom conjecture implies the existence of slice torus invariants without having to appeal to any explicit construction from a knot homology theory.

Citation

FELLER, P., LEWARK, L., & LOBB, A. (2023). On the values taken by slice torus invariants. Mathematical Proceedings of the Cambridge Philosophical Society, 176(1), 55-63. https://doi.org/10.1017/s0305004123000403

• Journal Article Type: Article
• Acceptance Date: Mar 15, 2023
• Online Publication Date: Aug 23, 2023
• Publication Date: Aug 23, 2023
• Deposit Date: Jan 17, 2024
• Publicly Available Date: Jan 17, 2024
• Journal: Mathematical Proceedings of the Cambridge Philosophical Society
• Print ISSN: 0305-0041
• Electronic ISSN: 1469-8064
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 176
• Issue: 1
• Pages: 55-63
• DOI: https://doi.org/10.1017/s0305004123000403
• Keywords: General Mathematics
• Public URL: https://durham-repository.worktribe.com/output/2149295