Constructions of homotopy 4-spheres by pochette surgery
arXiv:2205.05239 · doi:10.1007/s10711-023-00837-4
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.
17 pages, 49 figures