# Instanton Floer homology of almost-rational plumbings – Antonio Alfieri (CRM)

#### Venue

Aula Seminari - Dipartimento di Matematica

#### Abstract

Plumbed three-manifolds are those three-manifolds that can be be realized as links of isolated complex surface singularities. Inspired by Heegaard Floer theory Nemethi introduced a combinatorial invariant of complex surface singularities (lattice cohomology) that was recently proved to be is isomorphic to Heegaard Floer homology. I will give an introduction to lattice cohomology, and expose some work in collaboration with John Baldwin, Irving Dai, and Steven Sivek showing that the lattice cohomology of an almost-rational singularity is isomorphic to the framed Instanton Floer homology of its link.

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