Gromov-Witten theory of product stacks

Details Gromov-Witten theory of product stacks Gromov-Witten theory of product stacks

2009-05-14

arxiv.org/abs/0905.2258v1

Mathematics

Algebraic Geometry

38 pages

Scientific paper

Let $\mathcal{X}_1$ and $\mathcal{X}_2$ be smooth proper Deligne-Mumford stacks with projective coarse moduli spaces. We prove a formula for orbifold Gromov-Witten invariants of the product stack $\mathcal{X}_1\times \mathcal{X}_2$ in terms of Gromov-Witten invariants of the factors $\mathcal{X}_1$ and $\mathcal{X}_2$. As an application, we deduce a decomposition result for Gromov-Witten theory of trivial gerbes.

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