In the previous work, the author used symplectic flexibility techniques to prove an upper bound on the number of generators of the wrapped Fukaya category of a high-dimensional, simply connected Weinstein domain. In this article, we give a purely categorical proof of this result for all Weinstein domains via Thomason's theorem on split-generating subcategories and the Grothendieck group. In the process, we prove that there is a surjective map from singular cohomology to the Grothendieck group of the Fukaya category, relate the acceleration map to symplectic cohomology and the Dennis trace map and upgrade Abouzaid's split-generation criterion to a generation criterion for Weinstein domains. As a geometric analog of Thomason's result, we also produce the first examples of exotic presentations for cotangent bundles as Weinstein handle attachments along infinitely many non-fillable Legendrians.

中文翻译：

---

辛柔度和深谷范畴的格洛腾迪克群

在之前的工作中，作者使用辛柔度技术证明了一个高维单连通 Weinstein 域的包裹深谷类的生成器数量的上限。在本文中，我们通过关于分裂生成子类别的 Thomason 定理和格洛腾迪克群对所有温斯坦域的这一结果进行了纯粹的分类证明。在这个过程中，我们证明了从奇异上同调到深谷范畴的格洛腾迪克群的满射映射，将加速度映射与辛上同调和丹尼斯迹映射联系起来，并将 Abouzaid 的分裂生成准则升级为温斯坦域的生成准则. 作为 Thomason 结果的几何模拟，