2024/04/12 by Russell Avdek, Avdek, Russell
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2404.08484
openalex publication_date 2024/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe symplectic mapping class relations between products of positive Dehn twists along Lagrangian spheres in Weinstein 4-manifolds, all of which are affine ℂ varieties. The relations are obtained by applying classification results for Fano 3-folds and polarized K3 surfaces of small genus to a general methodology -- finding pencil pairs.