Geometry and Topology Seminar
On the Pin(2)-equivariant monopole Floer homology of plumbed 3-manifolds
Irving Dai,
Department of Mathematics,
Princeton University,
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.
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Geometry and Topology Seminar Series
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