The homology of cyclic branched covers of S3.
James F. Davis (1995)
Mathematische Annalen
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James F. Davis (1995)
Mathematische Annalen
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Antonio F. Costa, Jesús M. Ruiz (1986)
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Bruno P. Zimmermann (2004)
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We show that, if the covering involution of a 3-manifold M occurring as the 2-fold branched covering of a knot in the 3-sphere is contained in a finite nonabelian simple group G of diffeomorphisms of M, then M is a homology 3-sphere and G isomorphic to the alternating or dodecahedral group 𝔸₅ ≅ PSL(2,5). An example of such a 3-manifold is the spherical Poincaré sphere. We construct hyperbolic analogues of the Poincaré sphere. We also give examples of hyperbolic ℤ₂-homology 3-spheres...
Dan Burghelea, Crichton Ogle (1986)
Mathematische Zeitschrift
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Mikio Furuta (1990)
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Reinhold Hübl (1992)
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James F. Davis (1995)
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Jean-Louis Loday (1986)
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Z. Fiedorowicz, T. Pirashvili (1995)
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