Coverings and Minimal Triangulations of 3-Manifolds

Details Coverings and Minimal Triangulations of 3-Manifolds Coverings and Minimal Triangulations of 3-Manifolds

2009-02-28

arxiv.org/abs/0903.0112v1

Mathematics

Geometric Topology

8 pages, 3 figures

Scientific paper

This paper uses results on the classification of minimal triangulations of 3-manifolds to produce additional results, using covering spaces. Using previous work on minimal triangulations of lens spaces, it is shown that the lens space $L(4k, 2k-1)$ and the generalised quaternionic space $S^3/Q_{4k}$ have complexity $k,$ where $k\ge 2.$ Moreover, it is shown that their minimal triangulations are unique.

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