Geometry & Topology 7 (2003) 329–397

DOI: 10.2140/gt.2003.7.329

arXiv: math.GT/0204077

Abstract

We show that a free period three action on the three-sphere is standard, ie, the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts.

Keywords

3–manifold, 3–sphere, group action, spherical 3–manifold, lens space

Mathematical Subject Classification

Primary: 57M60

Secondary: 57M50

References

Forward citations

Publication

Received: 6 April 2002
Revised: 1 June 2003
Accepted: 23 May 2003
Published: 19 June 2003
Proposed: Cameron Gordon
Seconded: Walter Neumann, Joan Birman

Authors