Analytic knots, satellites and the 4-ball genus

Burglind Jöricke

doi:10.1007/s00209-016-1762-2

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arXiv · 1504.06496

Analytic knots, satellites and the 4-ball genus

Burglind Jöricke

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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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Burglind Jöricke. 2017-02-17. Analytic knots, satellites and the 4-ball genus. https://doi.org/10.1007/s00209-016-1762-2

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