Period three actions on the three-sphere

Details Period three actions on the three-sphere Period three actions on the three-sphere

2002-04-06

arxiv.org/abs/math/0204077v2

Geometry and Topology 7 (2003)329-397

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper11.abs.html

Scientific paper

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.

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