The Alexander Trick for Homology Spheres
Abstract We show that the group of homeomorphisms of a compact contractible $d$-manifold that fix the boundary is contractible, as long as $d \geq 6$. We deduce this from a strong uniqueness statement for one-sided $h$-cobordisms.
Authors
- Oscar Randal‐Williams (ORCID: https://orcid.org/0000-0002-7479-2878)
- Søren Galatius (ORCID: https://orcid.org/0000-0002-1015-7322)
Institutions
- University of Copenhagen (DK)
- Wilberforce University (US)
- University of Cambridge (GB)
- University College Copenhagen (DK)
- Institute of Mathematical Statistics (US)
- IT University of Copenhagen (DK)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-11-29
- DOI
- https://doi.org/10.1093/imrn/rnae255
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00