Heegaard splittings of graph manifolds

2018/02/20 by Bartolo, Enrique Artal, Peñaloza, Simón Isaza, Marco-BuzunÁriz, Miguel
#57M27 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1802.07213

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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