Local Lagrangian 2-knots are trivial

• 成果类型: Article
• 署名作者: Eliashberg, Y; Polterovich, L
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/2118583
• 发表日期: 1996
• 页码: 61-76
• 关键词: generating-functions; symplectic topology; HOMOLOGY

摘要

1.1. The problem of Lagrangian knots. In this paper we prove the following: THEOREM 1.1.A. Any flat at infinity Lagrangian embedding of R(2) into the standard symplectic R(4) is isotopic to the flat embedding via an ambient compactly supported Hamiltonian isotopy of R(4).