We give a new lower bound on the smooth 4-genus of knots, which we derive from the 10/8 + 4 theorem of Hopkins, Lin, Shi, and Xu. I'll state the result and show how it can be applied to bound the four-genus of certain satellite knots. Joint work with Gordana Matic and Linh Truong.
Four-ball genus bounds from the 11/8 Theorem
Alexandra Kjuchukova, University of Notre Dame
2023 AWM Research Symposium
Progress in low-dimensional topology [Organized by Akram Alishahi, Jennifer Hom, Feride Ceren Kose, Gordana Matic, and Hannah Turner]