Exotically knotted 2-spheres and the fundamental groups of their complements
Geometric Topology
2025-12-23 v2
Abstract
We show that for any finitely presented group , there is a simply connected closed 4-manifold containing an infinite family of topologically isotopic but smoothly inequivalent 2-links whose 2-link group is . We also show that, if satisfies the necessary topological conditions, these 2-links have nullhomotopic components.
Cite
@article{arxiv.2406.07093,
title = {Exotically knotted 2-spheres and the fundamental groups of their complements},
author = {Younes Benyahia},
journal= {arXiv preprint arXiv:2406.07093},
year = {2025}
}
Comments
11 pages, 3 figures. Lemma 5.1 added + referees' suggestions. To appear in Proc. Amer. Math. Soc