Grid diagrams and Heegaard Floer invariants

• 成果类型: Article
• 署名作者: Manolescu, Ciprian; Ozsvath, Peter s.; Thurston, Dylan p.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2025.201.1.1
• 发表日期: 2025
• 页码: 1-78
• 关键词: HOLOMORPHIC DISKS; spectral sequence; HOMOLOGY; monopoles; Duality; MAPS

摘要

We give combinatorial descriptions of the Heegaard Floer homology groups for arbitrary three-manifolds (with coefficients in Z/2Z). The descriptions are based on presenting the three-manifold as an integer surgery on a link in the three-sphere, and then using a grid diagram for the link. We also give combinatorial descriptions of the mod 2 Ozsv & aacute;th-Szab & oacute; mixed invariants of closed four-manifolds, also in terms of grid diagrams.