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On the topological 4-genus of torus knots

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arxiv 1509.07634 v2 pith:MGHOEVB6 submitted 2015-09-25 math.GT

Sebastian Baader , Peter Feller , Lukas Lewark , Livio Liechti This is my paper · ORCID
classification math.GT
keywords genusknotstopologicaltorussliceapplicationbestderive
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We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible linear estimate of the topological slice genus for torus knots with non-maximal signature invariant.

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  1. A note on the topological slice genus of satellite knots

    math.GT 2019-08 conditional novelty 8.0 of 10

    The Z-slice genus of a satellite knot is at most the Z-slice genus of the pattern applied to the unknot plus the Z-slice genus of the companion knot.

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