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Published June 19, 2003 | Published + Submitted
Journal Article Open

Period three actions on the three-sphere

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.

Additional Information

© 2003 Geometry & Topology Publications. Proposed: Cameron Gordon; Seconded: Walter Neumann, Joan Birman. Received: 6 April 2002; Revised: 1 June 2003; Published: 19 June 2003, The first named author would like to thank his PhD advisor Daryl Cooper for his exceptional fortitude and patience during the writing of this paper. He would also like to thank the National Science Foundation for providing partial support during the writing of this paper. Both authors would like to thank the referee for many helpful comments.

Attached Files

Published - MAHgt03.pdf

Submitted - 0204077v1.pdf

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