发表机构
College of Science, China University of Petroleum-Beijing（中国石油大学（北京）理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明在紧致可定向简单3-流形边界上，若两个分离坡道对应的柄添加均为可约，则它们之间的距离为零，从而在任意边界亏格下验证了Qiu-Zhang猜想中可约-可约情形。
AI 中文摘要
设M为紧致可定向简单3-流形，F为M的边界的一个亏格至少为2的分量。假设α和β是F上的分离坡道，且M(α)和M(β)都是可约的。我们证明α与β之间的距离为零。因此，关于分离退化坡道的Qiu-Zhang猜想在可约-可约情形下对任意边界亏格成立。
英文摘要
Let M be a compact orientable simple 3-manifold, and let F be a component of the boundary of M with genus at least two. Suppose that alpha and beta are separating slopes on F and that both M(alpha) and M(beta) are reducible. We prove that the distance between alpha and beta is zero. Thus the reducible-reducible case of the conjecture of Qiu and Zhang on separating degenerating slopes holds in arbitrary boundary genus.
CommentsThe manuscript contains 9 pages and 1 figure
