Holomorphic disks and topological invariants for closed three-manifolds

• 成果类型: Article
• 署名作者: Ozsváth, P; Szabó, Z
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2004.159.1027
• 发表日期: 2004
• 页码: 1027-1158
• 关键词: gromov-witten invariants; symplectic action; morse-theory; maslov index; intersection; BOUNDARY; geometry; CURVES; FLOW

摘要

The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin(c) structure. Given a Heegaard splitting of Y = U-0 boolean ORSigma U-1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Sigma relative to certain totally real subspaces associated to U-0 and U-1.