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Construction of
irreducible homology 3-spheres
with orientation reversing involution
Laurent Siebenmann and James M. Van Buskirk |
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Vol. 106 (1983), No. 1, 245–255
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Abstract |
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A simple procedure is described for constructing infinitely many homology 3-spheres which admit an orientation reversing involution with two fixed points, yet are irreducible (in that each smoothly embedded 2-sphere bounds a 3-ball); they are 2-fold branched cyclic coverings of suitably chosen knots. |
Mathematical Subject Classification 2000
Primary: 57S99
Secondary: 57M12, 57M25
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Milestones
Received: 4 January 1980
Revised: 12 September 1980
Published: 1 May 1983
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Authors |
| Laurent Siebenmann | |
| Département de Mathématiques Université de Paris-Sud 11 Bâtiment 425 91405 Orsay France |
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| http://topo.math.u-psud.fr/~lcs/ | |
| James M. Van Buskirk | |
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