Minimal triangulations for an infinite family of lens spaces

  title={Minimal triangulations for an infinite family of lens spaces},
  author={W. Jaco and J. Rubinstein and Stephan Tillmann},
  journal={arXiv: Geometric Topology},
The notion of a layered triangulation of a lens space was defined by Jaco and Rubinstein in earlier work, and, unless the lens space is L(3,1), a layered triangulation with the minimal number of tetrahedra was shown to be unique and termed its "minimal layered triangulation." This paper proves that for each integer n>1, the minimal layered triangulation of the lens space L(2n,1) is its unique minimal triangulation. More generally, the minimal triangulations (and hence the complexity) are… Expand

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Layered-triangulations of 3–manifolds, arXiv:math/0603601
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