Holomorphic disks and three-manifold invariants: properties and applications

• DOI: 10.48550/arxiv.math/0105202
• Publication Date: 2001-01-01
• Authors: Peter Ozsváth; Zoltán Szabó
• Keywords: Manifold (fluid mechanics)

In an earlier paper (math.SG/0101206), we introduced Floer homology theories associated to closed, oriented three-manifolds Y and SpinC structures. the present paper, give calculations study properties of these invariants. The suggest a conjectured relationship with Seiberg-Witten theory. include between Euler characteristics Turaev's torsion, minimal genus problem (Thurston norm), surgery exact sequences. We also some applications techniques three-manifold topology.