Cross-sections of unknotted ribbon disks and algebraic curves

Kyle Hayden

doi:10.1112/s0010437x19007012

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arXiv · 1801.05415

Cross-sections of unknotted ribbon disks and algebraic curves

Kyle Hayden

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Abstract

We resolve parts (A) and (B) of Problem 1.100 from Kirby's list by showing that many nontrivial links arise as cross-sections of unknotted holomorphic disks in the four-ball. The techniques can be used to produce unknotted ribbon surfaces with prescribed cross-sections, including unknotted Lagrangian disks with nontrivial cross-sections.

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Kyle Hayden. 2018-01-16. Cross-sections of unknotted ribbon disks and algebraic curves. https://doi.org/10.1112/s0010437x19007012

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