Boundary Reducible Handle Additions on Simple 3-Manifolds  

作　　者：Yan Nan LI Rui Feng QIU Ming Xing ZHANG 

机构地区：[1]Department of Applied Mathematics, Dalian University of Technology, Dalian 116023, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2009年第2期235-244,共10页数学学报（英文版）

基　　金：Supported by NSFC(10801021);NSFC(10625102);SRFDP(20050141011);SRFDP(20070141035)

摘　　要：Let M be a simple manifold, and F be a component of δM of genus two. For a slope γ on F, we denote by M（γ） the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γon F. In this paper, we shall prove that there is at most one separating slope γ on F such that M（γ） is δ-reducible.Let M be a simple manifold, and F be a component of δM of genus two. For a slope γ on F, we denote by M（γ） the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γon F. In this paper, we shall prove that there is at most one separating slope γ on F such that M（γ） is δ-reducible.

关 键 词：δ-reducible Scharlemann cycle simple manifold 

分 类 号：O152[理学—数学]