Period three actions on the three-sphere

Joseph Maher; J Hyam Rubinstein

doi:10.2140/gt.2003.7.329

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Home > Journals > Geom. Topol. > Volume 7 > Issue 1 > Article

2003 Period three actions on the three-sphere

Joseph Maher, J Hyam Rubinstein

Geom. Topol. 7(1): 329-397 (2003). DOI: 10.2140/gt.2003.7.329

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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.

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Joseph Maher. J Hyam Rubinstein. "Period three actions on the three-sphere." Geom. Topol. 7 (1) 329 - 397, 2003. https://doi.org/10.2140/gt.2003.7.329