JournalsggdVol. 16, No. 4pp. 1165–1178

Flip graphs for infinite type surfaces

  • Ariadna Fossas

    Université de Genève, Switzerland

  • Hugo Parlier

    University of Luxembourg, Esch sur Alzette, Luxembourg
Flip graphs for infinite type surfaces cover
Download PDF

This article is published open access under our Subscribe to Open model.

Abstract

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.

Cite this article

Ariadna Fossas, Hugo Parlier, Flip graphs for infinite type surfaces. Groups Geom. Dyn. 16 (2022), no. 4, pp. 1165–1178

DOI 10.4171/GGD/685