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Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality (2409.11659v2)
Published 18 Sep 2024 in math.AG, math-ph, and math.MP
Abstract: We prove the finite generation conjecture of arXiv:hep-th/0406078 for the Gromov-Witten potentials of the Calabi-Yau hypersurfaces $Z_6 \subset \mathbb{P}(1,1,1,1,2)$, $Z_8 \subset \mathbb{P}(1,1,1,1,4)$, and $Z_{10} \subset \mathbb{P}(1,1,1,2,5)$ using the theory of MSP fields. In addition, a formula is given for the genus one Gromov-Witten potentials of these targets.
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