Some smooth circle and cyclic group actions on exotic spheres

Quigley, J.

doi:10.1090/proc/16662

Some smooth circle and cyclic group actions on exotic spheres
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by J. D. Quigley;

Proc. Amer. Math. Soc. 152 (2024), 1777-1788

DOI: https://doi.org/10.1090/proc/16662

Published electronically: February 9, 2024

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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 deduce the existence of smooth circle and cyclic group actions on certain exotic spheres.

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