Detecting exotic spheres in low dimensions using coker J
Algebraic Topology
2020-02-12 v4
Abstract
Building off of the work of Kervaire and Milnor, and Hill, Hopkins, and Ravenel, Xu and Wang showed that the only odd dimensions n for which S^n has a unique differentiable structure are 1, 3, 5, and 61. We show that the only even dimensions below 140 for which S^n has a unique differentiable structure are 2, 6, 12, 56, and perhaps 4.
Cite
@article{arxiv.1708.06854,
title = {Detecting exotic spheres in low dimensions using coker J},
author = {Mark Behrens and Michael Hill and Michael J. Hopkins and Mark Mahowald},
journal= {arXiv preprint arXiv:1708.06854},
year = {2020}
}
Comments
52 pages. Revised version includes some additional recommendations of referee