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

Khandhawit, Tirasan; Lin, Jianfeng; Sasahira, Hirofumi

doi:10.2140/gt.2018.22.2027

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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

DOI: 10.2140/gt.2018.22.2027

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.

Keywords

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

Mathematical Subject Classification 2010

Primary: 57R57

Secondary: 57R58

References

Publication

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

Authors

Tirasan Khandhawit
Kavli IPMU The University of Tokyo Kashiwa Japan

Jianfeng Lin
Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States

Hirofumi Sasahira
Faculty of Mathematics Kyushu University Fukuoka Japan

Volume 22, issue 4 (2018)