On the values taken by slice torus invariants

FELLER, PETER; LEWARK, LUKAS; LOBB, ANDREW

doi:10.1017/s0305004123000403

On the values taken by slice torus invariants

FELLER, PETER; LEWARK, LUKAS; LOBB, ANDREW

Authors

PETER FELLER

LUKAS LEWARK

Professor Andrew Lobb andrew.lobb@durham.ac.uk
Professor

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

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