2000/10/23 by Eleny-Nicoleta Ionel, Ionel, Eleny-Nicoleta, Thomas H. Parker +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.AG #math.DG #math.SG
paper · pdf · doi:10.48550/arxiv.math/0010217
AMS-Latex, 66 pages with 3 eps figures (typos fixed in the introduction)
openalex publication_date 2000/10/23 · arxiv created 2000/10/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the symplectic category there is a `connect sum' operation that glues symplectic manifolds by identifying neighborhoods of embedded codimension two submanifolds. This paper establishes a formula for the Gromov-Witten invariants of a symplectic sum Z=X#Y in terms of the relative GW invariants of X and Y. Several applications to enumerative geometry are given.