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

2024/09/18 by Lei, Patrick
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2409.11659

Abstract

We prove the finite generation conjecture of arXiv:hep-th/0406078 for the Gromov-Witten potentials of the Calabi-Yau hypersurfaces Z₆ ⊂ ℙ(1,1,1,1,2), Z₈ ⊂ ℙ(1,1,1,1,4), and Z₁₀ ⊂ 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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