2014/07/11 by Brett Parker, Parker, Brett
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Polynomial and algebraic computation #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.1407.3020
openalex publication_date 2014/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Ionel's GW invariants relative normal-crossing divisors appear different from\nGromov-Witten invariants defined using log schemes or exploded manifolds.\nAppearances are, in this case, deceiving. I sketch the relationship between\nIonel's invariants and their exploded cousins using the example of the moduli\nspace of lines in the complex projective plane relative two coordinate lines.\nEven in this simplest of examples, 13 different types of curves appear in\nIonel's compactified moduli space, but these different types of curves can be\nunderstood in a unified and intuitive fashion using tropical curves.\n