Corpus ID: 1148383

# Layered-triangulations of 3-manifolds

@article{Jaco2006LayeredtriangulationsO3,
title={Layered-triangulations of 3-manifolds},
author={William H. Jaco and J. Hyam Rubinstein},
journal={arXiv: Geometric Topology},
year={2006}
}
• Published 25 March 2006
• Mathematics
• 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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