On the values taken by slice torus invariants

Feller, Peter and Lewark, Lukas and Lobb, Andrew (2024) On the values taken by slice torus invariants. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 176 (1). pp. 55-63. ISSN 0305-0041, 1469-8064

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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.

Item Type: Article
Uncontrolled Keywords: 57K10; 57K18
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 20 Mar 2024 05:46
Last Modified: 04 Mar 2025 09:12
URI: https://pred.uni-regensburg.de/id/eprint/59988

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