Year: 2004
Type: article
Abstract: In [27], we introduced Floer homology theories HF -(Y, s), HF ∞ (Y, s), HF + (Y, t), HF (Y, s),and HF red (Y, s) associated to closed, oriented three-manifolds Y equipped with a Spin c structures s ∈ Spin c (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.The properties include a relationship between the Euler characteristics of HF ± and Turaev's torsion, a relationship with the minimal genus problem (Thurston norm), and surgery exact sequences.We also include some applications of these techniques to three-manifold topology.1160
Source: Annals of Mathematics
Authors: Peter Ozsváth, Zoltán Szabó
Institutions: Columbia University, Princeton University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W1975038719