Intersection theoretic properties on the moduli space of genus 0 stable maps to a semipositive symplectic 4-manifold

2005/02/14 by Seongchun Kwon, Kwon, Seongchun
Mathematics · #14C17 #53D30 #53D45 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.AG #math.SG #msc:14C17 #msc:53D30 #msc:53D45

paper · pdf · doi:10.48550/arxiv.math/0502297

rewritten, shortened, some results are strengthened

openalex publication_date 2005/02/14 · arxiv created 2008/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize transversality, non-transversality properties on the moduli space of genus 0 stable maps to a semipositive symplectic manifold of dimension 4, when GW([point],...,[point]) is enumerative. In particular, we show that the intersection theoretic property depends on the existence of a critical point on a stable map.

Citations

• Pseudoholomorphic curves and the symplectic isotopy problem

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