Comptes Rendus
no. 7
Geometry
Geometric triangulations and flips
[Triangulations géométriques et flips]

Présenté par : Claire Voisin

Guillaume Tahar1
1 Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 7610001, Israel
Comptes Rendus. Mathématique, Volume 357 (2019) no. 7, pp. 620-623.

Nous démontrons que, dans chaque surface plate à singularités coniques, deux triangulations géométriques peuvent être reliées par une séquence de flips.

We prove that for a given flat surface with conical singularities, any pair of geometric triangulations can be connected by a chain of flips.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.07.001
Guillaume Tahar 1

1 Faculty of Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, 7610001, Israel 
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     author = {Guillaume Tahar},
     title = {Geometric triangulations and flips},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {620--623},
     publisher = {Elsevier},
     volume = {357},
     number = {7},
     year = {2019},
     doi = {10.1016/j.crma.2019.07.001},
     language = {en},
}
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Guillaume Tahar. Geometric triangulations and flips. Comptes Rendus. Mathématique, Volume 357 (2019) no. 7, pp. 620-623. doi : 10.1016/j.crma.2019.07.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.07.001/

[1] M. Bainbridge; D. Chen; Q. Gendron; S. Grushevsky; M. Möller Strata of k-differentials, Algebraic Geom., Volume 6 (2019) no. 2, pp. 196-233

[2] S. Fomin; M. Shapiro; D. Thurston Cluster algebras and triangulated surfaces. Part I: Cluster complexes, Acta Math., Volume 201 (2008) no. 1, pp. 83-146

[3] A. Hatcher On triangulations of surfaces, Topol. Appl., Volume 40 (1991) no. 2, pp. 189-194

[4] A. Zorich Flat surfaces (P. Cartier; B. Julia; P. Moussa; P. Vanhove, eds.), Frontiers in Number Theory, Physics, and Geometry, Springer, 2006, pp. 439-586

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