Links of rational singularities, L-spaces and LO fundamental groups

• 成果类型: Article
• 署名作者: Nemethi, Andras
• 署名单位: Hungarian Academy of Sciences; HUN-REN; HUN-REN Alfred Renyi Institute of Mathematics; Eotvos Lorand University; Basque Center for Applied Mathematics (BCAM)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-017-0724-6
• 发表日期: 2017
• 页码: 69-83
• 关键词: left-orderability; surface singularities; holomorphic disks; foliations; transverse; HOMOLOGY

摘要

We prove that the link of a complex normal surface singularity is an L-space if and only if the singularity is rational. This via a result of Hanselman et al. (Taut foliations on graph manifolds, 2015. arXiv: 1508.0591), proving the conjecture of Boyer et al. (Math Ann 356(4): 1213-1245, 2013), shows that a singularity link is not rational if and only if its fundamental group is left-orderable if and only if it admits a coorientable taut foliation.