Corpus ID: 1148383

Layered-triangulations of 3-manifolds

  title={Layered-triangulations of 3-manifolds},
  author={William H. Jaco and J. Hyam Rubinstein},
  journal={arXiv: Geometric Topology},
A family of one-vertex triangulations of 3-manifolds, layered-triangulations, is defined. Layered-triangulations are first described for handlebodies and then extended to all 3-manifolds via Heegaard splittings. A complete and detailed analysis of layered-triangulations is given in the cases of the solid torus and lens spaces, including the classification of all normal and almost normal surfaces in these triangulations. Minimal layered-triangulations of lens spaces provide a common setting for… Expand
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