Abstract

In this paper, we give a method to construct Heegaard splittings of oriented graph manifolds with orientable bases. A graph manifold is a closed 3-manifold admitting only Seifert-fibered pieces in its Jaco–Shalen–Johansson decomposition; for technical reasons, we restrict our attention to the fully oriented case, i.e., when both the pieces and the bases are oriented.

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