Cross-sections of unknotted ribbon disks and algebraic curves
arXiv:1801.05415 · doi:10.1112/S0010437X19007012
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.
arXiv comment12 pages, 9 figures. v2: Major revision; changes reflected in abstract
References in corpus (9)
- Algebraic functions and closed braids
- Lagrangian concordance of Legendrian knots
- Legendrian Ambient Surgery and Legendrian Contact Homology
- Lagrangian Cobordisms via Generating Families: Constructions and Geography
- Obstructions to Lagrangian concordance
- Optimal Cobordisms between Torus Knots
- Some non-collarable slices of Lagrangian surfaces
- Quasipositive links and Stein surfaces
- Morse theory for plane algebraic curves