English

Some smooth circle and cyclic group actions on exotic spheres

Algebraic Topology 2022-09-07 v1 Geometric Topology

Abstract

Classical work of Lee, Schultz, and Stolz relates the smooth transformation groups of exotic spheres to the stable homotopy groups of spheres. In this note, we apply recent progress on the latter to produce smooth circle and cyclic group actions on certain exotic spheres.

Cite

@article{arxiv.2209.01591,
  title  = {Some smooth circle and cyclic group actions on exotic spheres},
  author = {J. D. Quigley},
  journal= {arXiv preprint arXiv:2209.01591},
  year   = {2022}
}

Comments

11 pages. Comments welcome!

R2 v1 2026-06-28T00:41:43.833Z