Relative Gromov-Witten invariants

• 成果类型: Article
• 署名作者: Ionel, EN; Parker, TH
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2003.157.45
• 发表日期: 2003
• 页码: 45-96
• 关键词: holomorphic-curves; MANIFOLDS; genus; MAPS

摘要

We define relative Gromov-Witten invariants of a symplectic manifold relative to a codimension-two symplectic submanifold. These invariants are the key ingredients in the symplectic sum formula of [IP4]. The main step is the construction of a compact space of 'V-stable' maps. Simple special cases include the Hurwitz numbers for algebraic curves and the enumerative invariants of Caporaso and Harris.