English

Flip graphs for infinite type surfaces

Geometric Topology 2020-11-05 v1 Combinatorics

Abstract

We associate to triangulations of infinite type surface 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.

Keywords

Cite

@article{arxiv.2011.02324,
  title  = {Flip graphs for infinite type surfaces},
  author = {Ariadna Fossas and Hugo Parlier},
  journal= {arXiv preprint arXiv:2011.02324},
  year   = {2020}
}

Comments

15 pages, 5 pages

R2 v1 2026-06-23T19:54:50.584Z