A combinatorial description of knot Floer homology

• 成果类型: Article
• 署名作者: Manolescu, Ciprian; Ozsvath, Peter; Sarkar, Sucharit
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2009.169.633
• 发表日期: 2009
• 页码: 633-660
• 关键词: HOLOMORPHIC DISKS; morse-theory; INVARIANTS; LINKS

摘要

Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are squares. Using this diagram, we obtain a purely combinatorial description of the knot Floer homology of K.