## Geometry & Topology

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

#### 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.

#### Article information

Source
Geom. Topol., Volume 22, Number 4 (2018), 2027-2114.

Dates
Revised: 18 June 2017
Accepted: 22 July 2017
First available in Project Euclid: 13 April 2018

https://projecteuclid.org/euclid.gt/1523584817

Digital Object Identifier
doi:10.2140/gt.2018.22.2027

Mathematical Reviews number (MathSciNet)
MR3784516

Zentralblatt MATH identifier
06864332

#### Citation

Khandhawit, Tirasan; Lin, Jianfeng; Sasahira, Hirofumi. Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance. Geom. Topol. 22 (2018), no. 4, 2027--2114. doi:10.2140/gt.2018.22.2027. https://projecteuclid.org/euclid.gt/1523584817

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