English

Heegaard splittings of graph manifolds

Geometric Topology 2018-02-21 v1

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 33-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.

Keywords

Cite

@article{arxiv.1802.07213,
  title  = {Heegaard splittings of graph manifolds},
  author = {Enrique Artal Bartolo and Simón Isaza Peñaloza and Miguel Marco-BuzunÁriz},
  journal= {arXiv preprint arXiv:1802.07213},
  year   = {2018}
}

Comments

27 pages, 23 figures