RTG Seminar on Geometry, Dynamics and Topology Seminar

The set of homology 3-spheres, up to an equivalence relation called homology cobordism, forms an abelian group. In joint work with Irving Dai, Jen Hom, and Matt Stoffregen, we show that this group contains an infinite rank summand. The proof uses an algebraic modification of the involutive Heegaard Floer package of Hendricks-Manolescu and Hendricks-Manolescu-Zemke. No knowledge on Heegaard Floer homology will be assumed. Speaker(s): Linh Truong (IAS)