Rational symplectic field theory for Legendrian knots

• 成果类型: Article
• 署名作者: Ng, Lenhard
• 署名单位: Duke University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0265-8
• 发表日期: 2010
• 页码: 451-512
• 关键词: contact homology

摘要

We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of positive punctures. The construction uses ideas from string topology.