|
|||||
|
|
|
|
|
|
|
|
|
Coverings and minimal
triangulations of $3$–manifolds
William Jaco, J Hyam Rubinstein and Stephan Tillmann |
|
Algebraic & Geometric Topology 11 (2011) 1257–1265
|
Abstract |
|
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. |
Keywords
$3$–manifold, minimal triangulation, layered triangulation,
efficient triangulation, complexity, prism manifold, small
Seifert fibred space
|
Mathematical Subject Classification 2000
Primary: 57M25, 57N10
|
References |
Publication
Received: 28 February 2009
Revised: 27 June 2009
Accepted: 23 July 2009
Published: 4 May 2011
|
Authors |
| William Jaco | |
| Department of Mathematics Oklahoma State University Stillwater OK 74078-1058 USA |
|
| J Hyam Rubinstein | |
| Department of Mathematics and
Statistics The University of Melbourne Parkville, VIC 3010 Australia |
|
| Stephan Tillmann | |
| School of Mathematics and
Physics The University of Queensland Brisbane, QLD 4072 Australia |
|
|
