Coverings and minimal triangulations of 3-manifolds

By W. Jaco, H. Rubinstein, Stephan Tillmann. 2009

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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/Q have complexity k, where k≥2. Moreover, it is shown that their minimal triangulations are unique.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c8c241ee0671744a59cf5b898fedc659c111edaa