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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. doi:10.2140/gt.2003.7.329.

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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.

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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.
Funding AgencyGrant Number
Subject Keywords:3-manifold, 3-sphere, group action, spherical 3-manifold, lens space
Issue or Number:11
Classification Code:Mathematical Subject Classification 2000 Primary: 57M60 Secondary: 57M50
Record Number:CaltechAUTHORS:MAHgt03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:764
Deposited By: Archive Administrator
Deposited On:28 Sep 2005
Last Modified:08 Nov 2021 19:04

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