We associate to triangulations of infinite type surfaces a type of flip graph where simultaneous flips are allowed. Our main focus is on understanding exactly when two triangulations can be related by a sequence of flips. A consequence of our results is that flip graphs for infinite type surfaces have uncountably many connected components.
1
Université de Genève, Switzerland
2
University of Luxembourg, Esch sur Alzette, Luxembourg
Ariadna Fossas; Hugo Parlier. Flip graphs for infinite type surfaces. Groups, geometry, and dynamics, Tome 16 (2022) no. 4, pp. 1165-1178. doi: 10.4171/ggd/685
@article{10_4171_ggd_685,
author = {Ariadna Fossas and Hugo Parlier},
title = {Flip graphs for infinite type surfaces},
journal = {Groups, geometry, and dynamics},
pages = {1165--1178},
year = {2022},
volume = {16},
number = {4},
doi = {10.4171/ggd/685},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/685/}
}
TY - JOUR
AU - Ariadna Fossas
AU - Hugo Parlier
TI - Flip graphs for infinite type surfaces
JO - Groups, geometry, and dynamics
PY - 2022
SP - 1165
EP - 1178
VL - 16
IS - 4
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/685/
DO - 10.4171/ggd/685
ID - 10_4171_ggd_685
ER -
%0 Journal Article
%A Ariadna Fossas
%A Hugo Parlier
%T Flip graphs for infinite type surfaces
%J Groups, geometry, and dynamics
%D 2022
%P 1165-1178
%V 16
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/685/
%R 10.4171/ggd/685
%F 10_4171_ggd_685
