Connected Gromov-Witten invariants of [Symⁿ(A_r)]

2009/09/08 by Wan Keng Cheong, Cheong, Wan Keng, Amin Gholampour +1
Mathematics · #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.0909.1536

openalex publication_date 2009/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore the theory of connected Gromov-Witten invariants of the symmetric product stack [Symⁿ(A_r)]. We derive closed-form expressions for all equivariant invariants with two insertions and reveal a natural correspondence between the theory and the relative Gromov-Witten theory of the threefold A_r x P¹. When n is less than or equal to 3, we determine 3-point (usual) Gromov-Witten invariants of [Symⁿ(A₁)].

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