- Series
- School of Mathematics Colloquium
- Time
- Thursday, September 19, 2024 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jen Hom – Georgia Tech – https://jhom6.math.gatech.edu/
- Organizer
- Alex Dunn, Xiaoyu He, Rose McCarty, Dmitrii Ostrovskii, and Wei Zhu
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.