Flip graphs for infinite type surfaces

Groups, geometry, and dynamics

article

Ariadna Fossas¹  Hugo Parlier² 

[1] Université de Genève;University of Luxembourg

关键词: Triangulations;    flip graphs;    infinite type surfaces;   

DOI  :  10.4171/ggd/685

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

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.

【 授权许可】

CC BY