arXiv Analytics

Sign in

arXiv:math/0204077 [math.GT]AbstractReferencesReviewsResources

Period three actions on the three-sphere

Joseph Maher, J. Hyam Rubinstein

Published 2002-04-06, updated 2003-07-10Version 2

We show that a free period three action on the three-sphere is standard, i.e. the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts.

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper11.abs.html
Journal: Geometry and Topology 7 (2003)329-397
Categories: math.GT
Subjects: 57M60, 57M50
Related articles: Most relevant | Search more
arXiv:math/0311009 [math.GT] (Published 2003-11-02, updated 2008-02-04)
Period three actions on lens spaces
arXiv:1608.06844 [math.GT] (Published 2016-08-24)
Seifert fibrations of lens spaces
arXiv:math/0510391 [math.GT] (Published 2005-10-18, updated 2006-03-20)
Counting genus one fibered knots in lens spaces

Links

Toolbox