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Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus

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Abstract.

A method for constructing hyperbolic knots each of which bounds accidental incompressible Seifert surfaces of arbitrarily high genus is given.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Keio University, Hiyoshi 3-14-1, Kohoku-ku Yokohama, 223-8522, Japan

    Yukihiro Tsutsumi

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  1. Yukihiro Tsutsumi
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Correspondence to Yukihiro Tsutsumi.

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Mathematics Subject Classification (2000):57N10, 57M25.

The author was supported in part by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.

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Tsutsumi, Y. Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus. Math. Z. 246, 167–175 (2004). https://doi.org/10.1007/s00209-003-0593-0

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  • DOI: https://doi.org/10.1007/s00209-003-0593-0

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