Heegaard splittings of graph manifolds

Enrique Artal Bartolo; Simón Isaza Peñaloza; Miguel Marco-BuzunÁriz

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arXiv · 1802.07213

Heegaard splittings of graph manifolds

Enrique Artal Bartolo·Simón Isaza Peñaloza·Miguel Marco-BuzunÁriz

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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 decomposition; for technical reasons, we restrict our attention to the fully oriented case, i.e. both the pieces and the bases are oriented.

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BibTeX RIS

Enrique Artal Bartolo, Simón Isaza Peñaloza, Miguel Marco-BuzunÁriz. 2018-02-20. Heegaard splittings of graph manifolds. https://arxiv.org/abs/1802.07213

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