Exotically knotted 2-spheres and the fundamental groups of their complements
Abstract
We show that for any finitely presented group G G , 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 G G . We also show that, if G G satisfies the necessary topological conditions, these 2-links have nullhomotopic components.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 3
- Pages
- 1339–1352
- Publication date
- 15 January 2026
- Language
- EN