Published June 19, 2003
| Version Published + Submitted
Journal Article
Open
Period three actions on the three-sphere
Creators
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
Files
0204077v1.pdf
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Additional details
Identifiers
- Eprint ID
- 764
- Resolver ID
- CaltechAUTHORS:MAHgt03
Related works
- Describes
- https://arxiv.org/abs/math/0204077 (URL)
Funding
- NSF
Dates
- Created
-
2005-09-28Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field