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Analytic knots, satellites and the 4-ball genus

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Abstract

Call a smooth knot (or smooth link) in the unit sphere in \(\mathbb {C}^2\) analytic (respectively, smoothly analytic) if it bounds a complex curve (respectively, a smooth complex curve) in the complex ball. Let K be a smoothly analytic knot. For a small tubular neighbourhood of K we give a sharp lower bound for the 4-ball genus of analytic links L contained in it.

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  1. Humboldt-University Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Burglind Jöricke

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  1. Burglind Jöricke
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Jöricke, B. Analytic knots, satellites and the 4-ball genus. Math. Z. 286, 263–290 (2017). https://doi.org/10.1007/s00209-016-1762-2

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  • DOI: https://doi.org/10.1007/s00209-016-1762-2

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