A lower bound on the stable 4-genus of knots
Geometric Topology
2023-02-27 v3
Abstract
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.
Cite
@article{arxiv.2005.10197,
title = {A lower bound on the stable 4-genus of knots},
author = {Damian Iltgen},
journal= {arXiv preprint arXiv:2005.10197},
year = {2023}
}
Comments
24 pages, 4 figures, comments welcome. V3: Corrected the statement of Proposition 4 and 6, and Theorem 7 (main theorem). Applications to twist knots remain valid and unchanged