A lower bound on the stable 4-genus of knots

Iltgen, Damian (2022) A lower bound on the stable 4-genus of knots. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 22 (5). pp. 2239-2265. ISSN 1472-2739

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Abstract

We present a lower bound on the stable 4-genus of a knot based on Casson-Gordon tau-signatures. We compute the lower bound for an infinite family of knots, the twist knots, and show that a twist knot is torsion in the knot concordance group if and only if it has vanishing stable 4-genus.

Item Type: Article
Uncontrolled Keywords: CLASSICAL KNOT; INVARIANTS; CONCORDANCE; GENUS
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Feb 2024 06:53
Last Modified: 07 Feb 2024 06:53
URI: https://pred.uni-regensburg.de/id/eprint/56498

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