标题： 关于捆绑和分裂可 plumbing 的三维流形的级数不变量 显示英文标题

标题： On gluing and splitting series invariants of plumbed 3-manifolds

摘要： 我们研究了由根格扭结的栓接三维流形和纽结补的级数不变量。我们的级数恢复了Gukov-Pei-Putrov-Vafa、Gukov-Manolescu、Park以及Ri等人的近期成果，并且更普遍地适用于不一定负定的三维流形。我们证明了这些级数验证了与三维流形上相应操作相关的某些粘贴和分裂性质。最后，我们给出了透镜空间和Brieskorn球面情况的具体描述。 显示英文摘要

摘要： We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park, and Ri and apply more generally to 3-manifolds which are not necessarily negative definite. We show that our series verify certain gluing and splitting properties related to the corresponding operations on 3-manifolds. We conclude with an explicit description of the case of lens spaces and Brieskorn spheres.