Acta Mathematica Sinica

, Volume 15, Issue 1, pp 11–20

When closed graph manifolds are finitely covered by surface bundles over S1

  • Yan Wang
  • Fengchun Yu
Article

Abstract

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 J. Leucke-Y. Wu, W. Neumann, and S. Wang-F. Yu in this topic.

Keywords

Surface bundle Covering Graph manifolds 

1991MR Subject Classification

57N10 57M10 15A18 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Yan Wang
    • 1
  • Fengchun Yu
    • 1
  1. 1.Department of MathematicsPeking UniversityBeijingP. R. China

Personalised recommendations