Ribbon minimal knots and links
- Series
- Geometry Topology Seminar
- Time
- Monday, September 28, 2026 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Gary Dunkerley – UGA
It has been observed that the relationship of ribbon concordance induces monotonic behavior across several link invariants.
Resolving a famous open question of Gordon, Agol unified these observations by showing that ribbon concordance induces a partial order on knots in the 3-sphere.
Agol's argument can be extended to show that ribbon concordance likewise induces a partial order on arbitrary links in the 3-sphere.
Perhaps motivated by the slice-ribbon conjecture, it is natural and interesting to ask which knots and links are minimal with respect to this partial order.
Leveraging recent developments in link Floer homology, I will share new examples of ribbon minimal knots and links.
Some of this work is joint with Jaewon Lee and Alessio Di Prisa.