AI 中文总结
本文证明了Gross等人猜想的带标架函子的CY4范畴等变计数不变量跨壁公式，建立了稳定对对应版本，核心技术是用Jouanolou装置构造CY4拉回虚类。
AI 中文摘要
我们证明了Gross-Joyce-Tanaka猜想的、带有标架函子的CY4范畴的等变计数不变量的跨壁公式，还建立了固定行列式障碍理论下稳定对的对应版本，该版本已被第一作者用于早期应用。本文开发的核心技术是利用Jouanolou装置构造性质良好的CY4拉回虚类。
英文摘要
We prove the wall-crossing formula conjectured by Gross--Joyce--Tanaka for equivariant enumerative invariants of CY4 categories equipped with framing functors. We also establish a version for stable pairs with fixed-determinant obstruction theories, as used in earlier applications by the first-named author. The main technical ingredient, which we develop in this work, is a construction of well-behaved CY4 pullback virtual classes using Jouanolou devices.
Comments87 pages. Comments welcome!
