Boundary Reducible Handle Additions on Simple 3-Manifolds

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

作者机构：Department of Applied Mathematics Dalian University of Technology Dalian 116023 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第2期

页      面：235-244页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：δ-reducible Scharlemann cycle simple manifold 

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.