Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus (Q1434184)

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scientific article; zbMATH DE number 2078047
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Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus
scientific article; zbMATH DE number 2078047

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    Hyperbolic knots spanning accidental Seifert surfaces of arbitrarily high genus (English)
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    1 July 2004
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    The autor presents a method for constructing hyperbolic knots bounding an accidental incompressible Seifert surface of arbitrarily high genus. Here by accidental Seifert surface \(S\in M^3\) a Seifert surface is meant with an accidental peripheral, the latter being an essential loop that can be freely homotoped into \(\partial M^3\).
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    3-manifold
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    simple knot
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    hyperbolic knot
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