Tightness is preserved by Legendrian surgery

• 成果类型: Article
• 署名作者: Wand, Andy
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2015.182.2.8
• 发表日期: 2015
• 页码: 723-738
• 关键词: contact structures; INVARIANTS

摘要

This paper describes a characterization of tightness of closed contact 3-manifolds in terms of supporting open book decompositions. The main result is that tightness of a closed contact 3-manifold is preserved under Legendrian surgery.