On the Smale Conjecture for Diff$(S^4)$
Geometric Topology
2024-10-03 v9 Differential Geometry
Abstract
Recently Watanabe disproved the Smale Conjecture for , by showing Diff. He showed this by proving that their higher homotopy groups are different. Here we prove this more directly by showing Diff, otherwise a certain loose-cork could not possibly be a loose-cork.
Cite
@article{arxiv.2008.07269,
title = {On the Smale Conjecture for Diff$(S^4)$},
author = {Selman Akbulut},
journal= {arXiv preprint arXiv:2008.07269},
year = {2024}
}
Comments
9 pages, 14 figures, expanded version