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Hyperbolic rotations about links in 3-manifolds

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Abstract

In this paper, we will show that for any link L in a closed orientable 3-manifold M, infinitely many hyperbolic 3-manifolds are obtained from M by Dehn surgeries so that each of them admits an orientation-preserving smooth finite cyclic group action with fixed point set L.

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Authors and Affiliations

  1. Department of Mathematics, Kindai University, 3-4-1 Kowakae, Higashi-Osaka, Osaka, 577-8502, Japan

    Toru Ikeda

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  1. Toru Ikeda
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Correspondence to Toru Ikeda.

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Ikeda, T. Hyperbolic rotations about links in 3-manifolds. J. Geom. 108, 111–118 (2017). https://doi.org/10.1007/s00022-016-0328-0

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  • DOI: https://doi.org/10.1007/s00022-016-0328-0

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