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

Tirasan Khandhawit, Jianfeng Lin and Hirofumi Sasahira

Geometry & Topology 22 (2018) 2027–2114

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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3-manifolds, Floer homotopy, Seiberg–Witten theory, Conley index
Mathematical Subject Classification 2010
Primary: 57R57
Secondary: 57R58
Received: 20 May 2016
Revised: 18 June 2017
Accepted: 22 July 2017
Published: 5 April 2018
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Peter Ozsváth
Tirasan Khandhawit
Kavli IPMU
The University of Tokyo
Jianfeng Lin
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA
United States
Hirofumi Sasahira
Faculty of Mathematics
Kyushu University