Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 11, Number 3 (2011), 1257-1265.
Coverings and minimal triangulations of $3$–manifolds
This paper uses results on the classification of minimal triangulations of –manifolds to produce additional results, using covering spaces. Using previous work on minimal triangulations of lens spaces, it is shown that the lens space and the generalised quaternionic space have complexity , where . Moreover, it is shown that their minimal triangulations are unique.
Algebr. Geom. Topol., Volume 11, Number 3 (2011), 1257-1265.
Received: 28 February 2009
Revised: 27 June 2009
Accepted: 23 July 2009
First available in Project Euclid: 19 December 2017
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Jaco, William; Rubinstein, J Hyam; Tillmann, Stephan. Coverings and minimal triangulations of $3$–manifolds. Algebr. Geom. Topol. 11 (2011), no. 3, 1257--1265. doi:10.2140/agt.2011.11.1257. https://projecteuclid.org/euclid.agt/1513715227