Connected Gromov-Witten invariants of [Sym^n(A_r)]

Details Connected Gromov-Witten invariants of [Sym^n(A_r)] Connected Gromov-Witten invariants of [Sym^n(A_r)]

2009-09-08

arxiv.org/abs/0909.1536v2

Mathematics

Algebraic Geometry

9 pages. Made changes in wording and structure. To be incorporated into the paper arXiv:0910.0629

Scientific paper

We explore the theory of connected Gromov-Witten invariants of the symmetric product stack [Sym^n(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 P^1. When n is less than or equal to 3, we determine 3-point (usual) Gromov-Witten invariants of [Sym^n(A_1)].

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