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Lens spaces and toroidal Dehn fillings

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Abstract

We show that if M is a hyperbolic 3-manifold with ∂M a torus such that M(r 1) is a lens space and M(r 2) is toroidal, then Δ(r 1, r 2) ≤ 4.

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Authors and Affiliations

  1. Department of Mathematics, Chung-Ang University, Heukseok-dong, Dongjak-gu, Seoul, 156-756, Korea

    Sangyop Lee

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  1. Sangyop Lee
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Correspondence to Sangyop Lee.

Additional information

This research was supported by Basic Science Research Program Through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. R01-2008-000-11155-0).

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Lee, S. Lens spaces and toroidal Dehn fillings. Math. Z. 267, 781–802 (2011). https://doi.org/10.1007/s00209-009-0646-0

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  • DOI: https://doi.org/10.1007/s00209-009-0646-0

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