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. https://resolver.caltech.edu/CaltechAUTHORS:MAHgt03
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png)
|
PDF
- Published Version
See Usage Policy. 1MB | |
|
PDF
- Submitted Version
See Usage Policy. 814kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:MAHgt03
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 | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| 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. | |||||||||
| Funders: |
| |||||||||
| 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 | |||||||||
| DOI: | 10.2140/gt.2003.7.329 | |||||||||
| Record Number: | CaltechAUTHORS:MAHgt03 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:MAHgt03 | |||||||||
| 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: | 08 Nov 2021 19:04 |
Repository Staff Only: item control page
