Constructions of homotopy 4-spheres by pochette surgery
Geometric Topology
2024-08-29 v3
Abstract
The pochette surgery, which was discovered by Iwase and Matsumoto, is a generalization of the Gluck surgery. In this paper we construct infinitely many embeddings of a pochette into the 4-sphere and prove that homotopy 4-spheres obtained from surgeries along these embedded pochettes are all diffeomorphic to the 4-sphere.
Cite
@article{arxiv.2205.05239,
title = {Constructions of homotopy 4-spheres by pochette surgery},
author = {Tatsumasa Suzuki},
journal= {arXiv preprint arXiv:2205.05239},
year = {2024}
}
Comments
17 pages, 49 figures