English

Simple spheres in simply-connected $4$-manifolds

Geometric Topology 2025-09-09 v1

Abstract

These notes, which are based on three lectures delivered at the summer school "Topological 4-manifolds" at CRM in 2025, discuss classifications of locally flat spheres in closed, simply-connected 44-manifolds, with a focus on the case where the complements of the spheres have abelian fundamental group.

Keywords

Cite

@article{arxiv.2509.05862,
  title  = {Simple spheres in simply-connected $4$-manifolds},
  author = {Anthony Conway},
  journal= {arXiv preprint arXiv:2509.05862},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-07-01T05:24:41.726Z