Irreducible triangulations of the once-punctured torus
Combinatorics
2021-03-09 v4 Group Theory
Geometric Topology
History and Overview
Abstract
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A complete list of combinatorial structures of irreducible triangulations is made by hand for the once-punctured torus, consisting of exactly 297 non-isomorphic triangulations.
Keywords
Cite
@article{arxiv.1511.00731,
title = {Irreducible triangulations of the once-punctured torus},
author = {S. Lawrencenko and T. Sulanke and M. T. Villar and L. V. Zgonnik and M. J. Chávez and J. R. Portillo},
journal= {arXiv preprint arXiv:1511.00731},
year = {2021}
}
Comments
38 pages, 5 figures