Circle actions on homotopy spheres with codimension 4 fixed point set

Ronald Fintushel and Peter Sie Pao

Vol. 109 (1983), No. 2, 349–362

DOI: 10.2140/pjm.1983.109.349

Abstract

In this paper we give a complete equivariant classification of smooth S¹ actions on homotopy spheres with codimension 4 fixed point set and point out a relationship with a natural generalization of the twist-spinning process for knots.

Mathematical Subject Classification 2000

Primary: 57S25

Secondary: 57Q45

Milestones

Received: 22 June 1979

Revised: 28 January 1983

Published: 1 December 1983