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Higher Genus Gromov-Witten Theory of C^n/Z_n I: Holomorphic Anomaly Equations
Published 20 Jan 2023 in math.AG, math-ph, and math.MP | (2301.08389v3)
Abstract: We study the structure of higher genus Gromov-Witten theory of the quotient stack $[\mathbb{C}n/\mathbb{Z}_n]$. We prove holomorphic anomaly equations for $[\mathbb{C}n/\mathbb{Z}_n]$, generalizing previous results of Lho-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 $n\geq{3}$.
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