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Unfolded Seiberg–Witten Floer spectra, I :Definition and invariance

2016/04/27 by Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
Chemistry · Mathematics · #Advanced Operator Algebra Research #Amino acid #Chemistry #Computer science #Floer homology #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #Spectral line #Spectrum (functional analysis) #math.GT

paper · pdf · doi:10.2140/gt.2018.22.2027

published as Geom. Topol. 22 (2018) 2027-2114 · 72 pages

arxiv created 2016/04/27 · openalex publication_date 2018/04/05 · arxiv updated 2018/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Let Y be a closed and oriented 3–manifold. We define different versions of unfolded Seiberg–Witten Floer spectra for Y. These invariants generalize Manolescu’s Seiberg– Witten Floer spectrum for rational homology 3–spheres. We also compute some examples when Y is a Seifert space.

Citations