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.
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Wang, Y., Yu, F. When closed graph manifolds are finitely covered by surface bundles over S 1 . Acta Math Sinica 15, 11–20 (1999). https://doi.org/10.1007/s10114-999-0057-5
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DOI: https://doi.org/10.1007/s10114-999-0057-5