从旗簇到基本仿射空间的全纯圆盘提升
Lifting holomorphic disks from flag varieties to basic affine spaces
AI总结：
针对复简约代数群G对应的全纯主G-丛，开发了将边界在L/K上的全纯圆盘从基空间提升至主G-丛的方法，证明了对应旗簇全纯圆盘的提升可得到基本仿射空间特殊种子上的Gross–Hacking–Keel–Kontsevich超势。
AI中文摘要：
设G为复简约代数群，是紧李群K的复化。考虑一个全纯主G-丛，其全空间包含一个K-不变拉格朗日子流形L。我们开发了一种方法，将边界在L/K上的基空间全纯圆盘提升至主G-丛。我们证明，限制在基本仿射空间的一类特殊种子上的Gross–Hacking–Keel–Kontsevich超势，是通过提升对应旗簇中的全纯圆盘得到的。
英文摘要：
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.
