关于Michael Wemyss提出的计算GV不变量的猜想
On a conjecture by Michael Wemyss regarding the calculation of GV invariants
AI总结：
本文证明了Wemyss关于收缩代数可变形为单个半单代数的猜想，并探讨了关联代数变形技术及相关猜想。
摘要：
收缩代数是非交换代数，由Donovan和Wemyss引入，用于分类三维翻转。Wemyss猜测收缩代数可以变形为一个单个半单代数。这提供了一种内在方法来计算翻转的Gopakumar-Vafa不变量。主要结果是对类型A和D的Wemyss猜想的证明。在证明过程中，我们回顾并引入了构造关联代数平坦变形的新技术，并比较了各种变形的概念。我们还提出了两个猜想，暗示着更深层次的理论。
英文摘要：
Contraction algebras are noncommutative algebras introduced by Donovan and Wemyss to classify of 3-dimensional flops. Wemyss conjectures that contraction algebras can be deformed to a single semisimple algebra. This gives an intrinsic method of calculating Gopakumar-Vafa invariants of the flop. The main result is a proof of Wemyss' conjecture for types A and D. In the course of the proof, we recall and introduce new techniques for constructing flat deformations of associative algebras and compare various notions of deformations. We also put forward two conjectures which hint towards a deeper theory.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
