Geometry and Topology Seminar

We compute the Pin(2)-equivariant monopole Floer homology for the class of plumbed 3-manifolds with at most one "bad" vertex (in the sense of Ozsváth and Szabó). We show that for these manifolds, the Pin(2)-equivariant monopole Floer homology can be calculated in terms of the Heegaard Floer/monopole Floer lattice complex of Némethi. As an application of this, we prove a relationship between the Manolescu correction terms (in the setting of Lin) and the Neumann-Siebenmann invariant for such spaces.