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When Closed Graph Manifolds are Finitely Covered by Surface Bundles Over S^1

When Closed Graph Manifolds are Finitely Covered by Surface Bundles Over S^1

作     者:Yan Wang Fengchun YuDepartment of Mathematics,Peking University,Beijing 100871 P.R.China 

作者机构:Department of Mathematics Peking University Beijing P. R. China 

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

年 卷 期:1999年第15卷第1期

页      面:11-20页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Supported in part by NSFC 

主  题:Surface bundle Covering Graph manifolds 

摘      要:The problem of deciding whether a graph manifold is finitely covered by a surface bundle over the circle is discussed in this paper.A necessary and sufficient condition in term of the solutions of a certain matrix equation is obtained,as well as a necessary condition which is easy to compute. Our results sharpen and extend the earlier results of ***,***,and ***-F. Yu in this topic.

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