Cross-sections of unknotted ribbon disks and algebraic curves
Geometric Topology
2019-02-20 v2 Symplectic Geometry
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.
Cite
@article{arxiv.1801.05415,
title = {Cross-sections of unknotted ribbon disks and algebraic curves},
author = {Kyle Hayden},
journal= {arXiv preprint arXiv:1801.05415},
year = {2019}
}
Comments
12 pages, 9 figures. v2: Major revision; changes reflected in abstract