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arXiv · 2608.15571

Lifting holomorphic disks from flag varieties to basic affine spaces

Yoosik Kim
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Abstract

Let $G$ be a complex reductive algebraic group, the complexification of a compact Lie group $K$. Consider a holomorphic principal $G$-bundle whose total space contains a $K$-invariant Lagrangian submanifold $L$. We develop a method for lifting holomorphic disks from the base with boundary on $L/K$ to the principal $G$-bundle. We show that the Gross--Hacking--Keel--Kontsevich superpotential restricted to a distinguished class of seeds of the basic affine space is obtained by lifting holomorphic disks in the corresponding flag manifold.

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Yoosik Kim. 2026-08-16. Lifting holomorphic disks from flag varieties to basic affine spaces. https://arxiv.org/abs/2608.15571

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