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We study the structure of higher genus Gromov-Witten theory of the quotientstack $[\mathbb{C}^n/\mathbb{Z}_n]$. We prove holomorphic anomaly equations for$[\mathbb{C}^n/\mathbb{Z}_n]$, generalizing previous results ofLho-Pandharipande arXiv:1804.03168 for the case of$[\mathbb{C}^3/\mathbb{Z}_3]$ and ours arXiv:2211.15878 for the case$[\mathbb{C}^5/\mathbb{Z}_5]$ to arbitrary $n\geq{3}$.

Higher Genus Gromov-Witten Theory of C^n/Z_n I: Holomorphic Anomaly Equations