PL-Surfaces in Homology 4-Balls

Explore a 54-minute conference talk from the Gauge Theory and Low Dimensional Topology event, focusing on PL-surfaces in homology 4-balls. Delve into Jennifer Hom's research on manifold-knot pairs (Y, K) where Y is a homology 3-sphere bounding a homology 4-ball. Learn about Adam Levine's proof regarding the existence of pairs (Y, K) where K does not bound a PL-disk in any bounding homology ball. Discover how Hom and collaborators Matthew Stoffregen and Hugo Zhou demonstrate that the minimum genus of a PL surface S in any bounding homology ball can be arbitrarily large, using Heegaard Floer homology in their proof. Gain insights into this complex topic in low-dimensional topology presented at the University of Miami's Lakeside Village Pavilion.