PL-surfaces in homology 4-balls Jennifer Hom, Georgia Institute of Technology Host: Jonathan Johnson This talk is part of the Distinguished Women in Mathematics Colloquium Series.
Abstract: We consider manifold-knot pairs $(Y, K)$ where $Y$ is a homology 3-sphere that bounds a homology 4-ball. Adam Levine proved that there exists pairs $(Y, K)$ such that K does not bound a PL-disk in any bounding homology ball. We show that the minimum genus of a PL surface S in any bounding homology ball can be arbitrarily large. The proof relies on Heegaard Floer homology. This is joint work with Matthew Stoffregen and Hugo Zhou.
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