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Lattice homology and Seiberg–Witten Floer spectra

  • Irving Dai

    The University of Texas at Austin, USA

  • Hirofumi Sasahira

    Kyushu University, Fukuoka, Japan

  • Matthew Stoffregen

    Michigan State University, East Lansing, USA
Lattice homology and Seiberg–Witten Floer spectra cover

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Abstract

Using lattice homology, we give an explicit combinatorial description of the Seiberg–Witten Floer spectrum for an almost-rational plumbed homology sphere. This class of manifolds includes all Seifert fibered rational homology spheres with base orbifold . Using our computations, we provide a calculation of Manolescu’s -invariant for certain connected sums of these spaces.

Cite this article

Irving Dai, Hirofumi Sasahira, Matthew Stoffregen, Lattice homology and Seiberg–Witten Floer spectra. J. Eur. Math. Soc. (2026), published online first

DOI 10.4171/JEMS/1809