English

On a homotopy $4$-sphere

Geometric Topology 2020-08-21 v2 Symplectic Geometry

Abstract

We give a brief survey of some facts about homotopy 44-spheres \cite{a1}, then give a proof that the curious homotopy sphere constructed in \cite{a2} is in fact diffeomorphic to the standard S4S^4, and discuss its relation to infinite order loose corks and anti-corks.

Keywords

Cite

@article{arxiv.2006.05835,
  title  = {On a homotopy $4$-sphere},
  author = {Selman Akbulut},
  journal= {arXiv preprint arXiv:2006.05835},
  year   = {2020}
}

Comments

The contents of this paper is transferred to the replacement submission of arXiv:1912.11804

R2 v1 2026-06-23T16:12:29.741Z