[en] We investigate a type of distance between triangulations on finite-type surfaces where one moves between triangulations by performing simultaneous flips. We consider triangulations up to homeomorphism, and our main results are upper bounds on the distance between triangulations that only depend on the topology of the surface.
Disciplines :
Mathématiques
Auteur, co-auteur :
Disarlo, Valentina; Ruprechts Karls Univ, Math Inst, Neuenheimer Feld 205, D-69120 Heidelberg, Germany.
PARLIER, Hugo ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Titre :
Simultaneous Flips on Triangulated Surfaces
Date de publication/diffusion :
2018
Titre du périodique :
Michigan Mathematical Journal
ISSN :
0026-2285
Maison d'édition :
Michigan Mathematical Journal, Ann Arbor, Inconnu/non spécifié
Volume/Tome :
67
Fascicule/Saison :
3
Pagination :
451-464
Peer reviewed :
Peer reviewed
Organisme subsidiant :
U.S. National Science Foundation [DMS 1107452, 1107263, 1107367]
Commentaire :
The second author is grateful to the Mathematics Department of Indiana University for its hospitality during a particularly enjoyable and fruitful research visit when parts of this paper were written. Both authors acknowledge support from U.S. National Science Foundation grants DMS 1107452, 1107263, 1107367 "RNMS: GEometric structures And Representation varieties" (the GEAR Network).
