Patrick Lei

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math.AG2024

Higher genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds II: Feynman rule and anomaly equations

Patrick Lei

We prove the Feynman rule conjectured by Bershadsky-Cecotti-Ooguri-Vafa arXiv:hep-th/9309140 and the anomaly equations conjectured by Yamaguchi-Yau arXiv:hep-th/0406078 for the Gro…

math.AG2024

Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality

Patrick Lei

We prove the finite generation conjecture of arXiv:hep-th/0406078 for the Gromov-Witten potentials of the Calabi-Yau hypersurfaces $Z_{6} \subset P (1, 1, 1, 1, 2)$ , $Z_8 \subset…

math.AG2024

MSP theory for smooth Calabi-Yau threefolds in weighted $P^{4}$

Patrick Lei

We develop the theory of $N$ -mixed-spin- $P$ fields for Fermat-type hypersurfaces in $P (1, 1, 1, 1, 2)$ , $P (1, 1, 1, 1, 4)$ , and $P (1, 1, 1, 1, 4)$ , following the the…

Higher genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds II: Feynman rule and anomaly equations

Higher-genus Gromov-Witten theory of one-parameter Calabi-Yau threefolds I: Polynomiality

MSP theory for smooth Calabi-Yau threefolds in weighted P4

MSP theory for smooth Calabi-Yau threefolds in weighted $P^{4}$