Toroidal Dehn surgery on hyperbolic knots and hitting number |
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| Authors: | Masakazu Teragaito |
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| Institution: | aDepartment of Mathematics and Mathematics Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima 739-8524, Japan |
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| Abstract: | In this paper, we prove that for any positive even integer m, there exists a hyperbolic knot such that its longitudinal Dehn surgery yields a 3-manifold containing a unique separating, incompressible torus, which meets the core of the attached solid torus in m points minimally. |
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| Keywords: | Dehn surgery Hyperbolic knot Toroidal manifold Hitting number |
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