The Heegaard Floer d-invariant for rational homology spheres

The Heegaard Floer d-invariant is a numerical invariant of rational homology spheres which is analogous to the Frøyshov h-invariant from Instanton theory. In this talk, we use Zemke’s recent isomorphism between lattice Floer and Heegaard Floer homology to compute the d-invariant for all rational homology spheres which arise as negative definite plumbed manifolds, verifying a 20 year old conjecture of Némethi.