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Abstract
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We present a lower bound on the stable
–genus of a knot based on
Casson–Gordon
–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
–genus.
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Keywords
low-dimensional topology, knot theory, stable $4$–genus,
concordance group, twist knots
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Mathematical Subject Classification
Primary: 57K10
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Publication
Received: 17 June 2020
Revised: 16 April 2021
Accepted: 12 May 2021
Published: 25 October 2022
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