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Period three actions on the three-sphere

Maher, Joseph and Rubinstein, J. Hyam (2003) Period three actions on the three-sphere. Geometry and Topology, 7 (11). pp. 1-69. ISSN 1465-3060. http://resolver.caltech.edu/CaltechAUTHORS:MAHgt03

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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.


Item Type:Article
Additional Information:© 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.
Subject Keywords:3-manifold, 3-sphere, group action, spherical 3-manifold, lens space
Record Number:CaltechAUTHORS:MAHgt03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:MAHgt03
Alternative URL:http://dx.doi.org/10.2140/gt.2003.7.329
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:764
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:28 Sep 2005
Last Modified:26 Dec 2012 08:41

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