2002/07/04 by Stanislav Jabuka, Jabuka, Stanislav
Mathematics · #32Q65 #53D50 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.SG #msc:32Q65 #msc:53D50
paper · pdf · doi:10.48550/arxiv.math/0207052
Minor changes were made upon referee's suggestion. Updated references. To be published in Illinois J. Math
openalex publication_date 2002/07/04 · arxiv created 2004/02/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is a well known fact that every embedded symplectic surface Σ in a symplectic 4-manifold (X4,ω) can be made J-holomorphic for some almost-complex structure J compatible with ω. In this paper we investigate when such a J can be chosen from a generic set of almost-complex structures. As an application we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero.