Analytic knots, satellites and the 4-ball genus

الأصل · EN

Call a smooth knot (or smooth link) in the unit sphere in C² 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.