13 citations · 51 across the 10 of their papers we have counts for
8 papers · 1 filter
Lattice homology and Seiberg-Witten Floer spectra
Irving Dai, Hirofumi Sasahira, Matthew Stoffregen
Using lattice homology, we give an explicit combinatorial description of the Seiberg-Witten-Floer spectrum for an almost-rational plumbed homology sphere. Thi…
Seiberg-Witten Floer spectra for
Hirofumi Sasahira, Matthew Stoffregen
We construct a generalization of the Seiberg-Witten Floer spectrum for suitable three-manifolds with . For a cobordism between three-manifolds we define Bauer-Furuta…
Unfolded Seiberg-Witten Floer spectra, II: Relative invariants and the gluing theorem
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
We use the construction of unfolded Seiberg-Witten Floer spectra of general 3-manifolds defined in our previous paper to extend the notion of relative Bauer-Furuta invariants to ge…
Unfolded Seiberg-Witten Floer spectra, I: Definition and invariance
Tirasan Khandhawit, Jianfeng Lin, Hirofumi Sasahira
Let be a closed and oriented -manifold. We define different versions of unfolded Seiberg-Witten Floer spectra for . These invariants generalize Manolescu's Seiberg-Witten…
Gluing formula for the stable cohomotopy version of Seiberg-Witten invariants along 3-manifolds with
H. Sasahira
We will define a version of Seiberg-Witten-Floer stable homotopy types for a closed, oriented 3-manifold with and a spin-c structure on with $c_…
Instanton Floer homology for lens spaces
H. Sasahira
We construct instanton Floer homology for lens spaces . As an application, we prove that $X = \CP^2 # \CP^2$ does not admit a decomposition . Here a…