Lattice homology and Seiberg–Witten Floer spectra
Abstract
Using lattice homology, we give an explicit combinatorial description of the Seiberg–Witten Floer spectrum \mathit{SWF}(Y) for Y an almost-rational plumbed homology sphere. This class of manifolds includes all Seifert fibered rational homology spheres with base orbifold S^{2} . Using our computations, we provide a calculation of Manolescu’s \kappa -invariant for certain connected sums of these spaces.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of the European Mathematical Society
- Publication date
- 31 July 2026
- Language
- EN