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

Tirasan Khandhawit; Jianfeng Lin; Hirofumi Sasahira

doi:10.2140/gt.2018.22.2027

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Home > Journals > Geom. Topol. > Volume 22 > Issue 4 > Article

2018 Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance

Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira

Geom. Topol. 22(4): 2027-2114 (2018). DOI: 10.2140/gt.2018.22.2027

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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.

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Tirasan Khandhawit. Jianfeng Lin. Hirofumi Sasahira. "Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance." Geom. Topol. 22 (4) 2027 - 2114, 2018. https://doi.org/10.2140/gt.2018.22.2027

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Received: 20 May 2016; Revised: 18 June 2017; Accepted: 22 July 2017; Published: 2018

First available in Project Euclid: 13 April 2018

zbMATH: 06864332

MathSciNet: MR3784516

Digital Object Identifier: 10.2140/gt.2018.22.2027

Subjects:

Primary: 57R57

Secondary: 57R58

Keywords: 3-manifolds , Conley index , Floer homotopy , Seiberg–Witten theory

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Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira "Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance," Geometry & Topology, Geom. Topol. 22(4), 2027-2114, (2018)

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