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arXiv · 1811.10807

Mirror theorems for root stacks and relative pairs

Honglu Fan·Hsian-Hua Tseng·Fenglong You
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Abstract

Given a smooth projective variety $X$ with a smooth nef divisor $D$ and a positive integer $r$, we construct an $I$-function, an explicit slice of Givental's Lagrangian cone, for Gromov--Witten theory of the root stack $X_{D,r}$. As an application, we also obtain an $I$-function for relative Gromov--Witten theory following the relation between relative and orbifold Gromov--Witten invariants.

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Honglu Fan, Hsian-Hua Tseng, Fenglong You. 2018-11-27. Mirror theorems for root stacks and relative pairs. https://arxiv.org/abs/1811.10807

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