Reveals a combinatorial description of the Seiberg–Witten Floer spectrum for homology spheres, suggesting new insights into their invariants.
Using lattice homology, we give an explicit combinatorial description of the Seiberg–Witten Floer spectrum SWF(Y) for Y an almost-rational plumbed homology sphere. This class of manifolds includes all Seifert fibered rational homology spheres with base orbifold S² . Using our computations, we provide a calculation of Manolescu’s κ -invariant for certain connected sums of these spaces.
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Dai et al. (2026) studied this question.
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