AI 中文总结
该研究计算克莱因奇点极小分解有限循环商（折叠）的\(\mathbb{C}^\times\)等变orbifold量子上同调非扭曲部分，受crepant分解猜想启发对完整的提出猜想并提供证据，还识别了所得弗罗贝尼乌斯结构与已知结构。
AI 中文摘要
我们计算了克莱因奇点极小分解的某些有限循环商（我们称之为它们的折叠）的\(\mathbb{C}^\times\)等变orbifold量子上同调的非扭曲部分。然后，受 crepant 分解猜想的启发，我们对完整的\(\mathbb{C}^\times\)等变orbifold量子上同调提出了一个猜想，并提供了两条支持证据。我们还将得到的弗罗贝尼乌斯结构与与相应的非简单系根系相关的已知弗罗贝尼乌斯结构进行了识别。
英文摘要
We compute the untwisted part of the $\mathbb{C}^\times$-equivariant orbifold quantum cohomology of certain finite cyclic quotients of the minimal resolutions of Kleinian singularities, which we refer to as their foldings. We then formulate a conjecture for the full $\mathbb{C}^\times$-equivariant orbifold quantum cohomology, motivated by the Crepant Resolution Conjecture, and provide two pieces of supporting evidence. We also identify the resulting Frobenius structure with known Frobenius structures associated with the corresponding non-simply-laced root systems.
