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arXiv · 1712.01478

Weighted blowup correspondence of orbifold Gromov--Witten invariants and applications

Bohui Chen·Cheng-Yong Du·Jianxun Hu
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Abstract

Let $\sf X$ be a symplectic orbifold groupoid with $\sf S$ being a symplectic sub-orbifold groupoid, and $\sf X_{\mathfrak a}$ be the weight-$\mathfrak a$ blowup of $\sf X$ along $\sf S$ with $\sf Z$ being the corresponding exceptional divisor. We show that there is a weighted blowup correspondence between some certain absolute orbifold Gromov--Witten invariants of $\sf X$ relative to $\sf S$ and some certain relative orbifold Gromov--Witten invariants of the pair $(\sf X_{\mathfrak a}|Z)$. As an application, we prove that the symplectic uniruledness of symplectic orbifold groupoids is a weighted blowup invariant.

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Bohui Chen, Cheng-Yong Du, Jianxun Hu. 2017-12-05. Weighted blowup correspondence of orbifold Gromov--Witten invariants and applications. https://arxiv.org/abs/1712.01478

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