Đề tài " Holomorphic disks and threemanifold invariants: Properties and applications "

In [27], we introduced Floer homology theories HF − (Y, s), HF ∞ (Y, s), HF (Y, s),and HFred (Y, s) associated to closed, oriented three-manifolds Y equipped with a Spinc structures s ∈ Spinc (Y ). In the present paper, we give calculations and study the properties of these invariants. The calculations suggest a conjectured relationship with Seiberg-Witten theory.