Unfolded Seiberg-Witten Floer spectra, I: Definition and invariance
  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. 
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
math.GT