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]
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.