13 citations · 51 across the 10 of their papers we have counts for
12 papers
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…
Higher Nahm transform in non commutative geometry
Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang
Anti-self-dual (ASD) connections for a compact smooth four manifold arise as critical values for the Yang-Mills action functional. Nahm transform is a nice correspondence between a…
Twisted Donaldson invariants
Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang
Fundamental group of a manifold gives a deep effect on its underlying smooth structure. In this paper we introduce a new variant of the Donaldson invariant in Yang-Mills gauge theo…
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…