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arXiv · 0905.2258

Gromov-Witten theory of product stacks

Elena Andreini·Yunfeng Jiang·Hsian-Hua Tseng
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Abstract

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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Elena Andreini, Yunfeng Jiang, Hsian-Hua Tseng. 2009-05-14. Gromov-Witten theory of product stacks. https://arxiv.org/abs/0905.2258

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