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Irreducible triangulations of the once-punctured torus


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Opened Access Irreducible triangulations of the once-punctured torus

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Author: Lawrecenko, Serge
Sulanke, Thom
Villar Liñán, María Trinidad
Zgonnik, Lyudmila Vladimirovna
Chávez de Diego, María José
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Date: 2018
Published in: Sibirskie Elektronnye Matematicheskie Izvestiya (Siberian Electronic Mathematical Reports), 15, 277-304.
Document type: Article
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.
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DOI: 10.17377/semi.2018.15.026

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