Year: 2020
Type: preprint
Abstract: Recently Watanabe disproved the Smale Conjecture for $S^4$, by showing Diff$(S^{4})\neq SO(5)$. He showed this by proving that their higher homotopy groups are different. Here we prove this more directly by showing $π_{0}$Diff$(S^{4})\neq 0$, otherwise a certain loose-cork could not possibly be a loose-cork.
Source: arXiv (Cornell University)
Author: Akbulut, Selman
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3000517706