广义Luttinger手术及广义复几何中的其他剪切-粘贴构造
Generalized Luttinger surgery and other cut-and-paste constructions in generalized complex geometry
AI总结：
本文利用稳定广义复结构与辛结构的亲和性，将辛几何中的Luttinger手术、Gluck扭转和分支覆盖推广到广义复几何，并在多种高维流形上构造出具有非伦等价类型变化轨迹分支的稳定广义复结构。
摘要：
利用稳定广义复结构与辛结构之间的亲和性，我们解释了如何将来自辛几何的某些构造在广义复环境中执行。我们引入了沿$\mathcal{J}$-辛子流形的广义Luttinger手术和广义Gluck扭转。我们还将分支覆盖导出到广义复环境中。作为一个应用，在多种高维流形上构造出了稳定广义复结构。值得注意的是，其中一些流形的类型变化轨迹具有非伦等价的道路连通分支。
英文摘要：
Exploiting the affinity between stable generalized complex structures and symplectic structures, we explain how certain constructions coming from symplectic geometry can be performed in the generalized complex setting. We introduce generalized Luttinger surgery and generalized Gluck twist along $\mathcal{J}$-symplectic submanifolds. We also export branched coverings to the generalized complex setting. As an application, stable generalized complex structures are produced on a variety of high-dimensional manifolds. Remarkably, some of them have non-homotopy-equivalent path-connected components of their type change locus.
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。
