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Title: Cross-sections of unknotted ribbon disks and algebraic curves
We resolve parts (A) and (B) of Problem 1.100 from Kirby’s list [Problems in low-dimensional topology, inGeometric topology, AMS/IP Studies in Advanced Mathematics, vol. 2 (American Mathematical Society, Providence, RI, 1997), 35–473] 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.  more » « less
Award ID(s):
1803584
PAR ID:
10594332
Author(s) / Creator(s):
Publisher / Repository:
Cambridge University Press
Date Published:
Journal Name:
Compositio Mathematica
Volume:
155
Issue:
2
ISSN:
0010-437X
Page Range / eLocation ID:
413 to 423
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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