Right-veering diffeomorphisms of compact surfaces with boundary

• 成果类型: Article
• 署名作者: Honda, Ko; Kazez, William H.; Matic, Gordana
• 署名单位: University of Southern California; University System of Georgia; University of Georgia
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0051-4
• 发表日期: 2007
• 页码: 427-449
• 关键词: tight contact structures; lefschetz fibrations; CLASSIFICATION; TOPOLOGY

摘要

We initiate the study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary. The monoid strictly contains the monoid of products of positive Dehn twists. We explain the relationship to tight contact structures and open book decompositions.