Penn Arts & Sciences Logo

Penn Mathematics Colloquium

Wednesday, April 27, 2022 - 3:45pm

Jennifer Hom

Georgia Institute of Technology


University of Pennsylvania


Tea at 3:15pm in 4E17 DRL.

Under the operation of connected sum, the set of three-manifolds form a monoid. Modulo an equivalence relation called homology cobordism, this monoid (of homology spheres) becomes a group. What is the structure of this group? What families of three-manifolds generate (or don’t generate) this group? We give some answers to these questions using Heegaard Floer homology. This is joint work with (various subsets of) I. Dai, K. Hendricks, M. Stoffregen, L. Truong, and I. Zemke.