English

Matching arc complexes: connectedness and hyperbolicity

Geometric Topology 2022-10-11 v1 Combinatorics Group Theory

Abstract

Addressing a question of Zaremsky, we give conditions on a finite simplicial graph which guarantee that the associated matching arc complex is connected and hyperbolic.

Keywords

Cite

@article{arxiv.2108.05811,
  title  = {Matching arc complexes: connectedness and hyperbolicity},
  author = {Javier Aramayona and Rodrigo de Pool and Alejandro Fernández},
  journal= {arXiv preprint arXiv:2108.05811},
  year   = {2022}
}

Comments

This note is part of R.d.P.'s Master Thesis at UAM-ICMAT, and of A.F.'s work within the JAE-Intro programme at CSIC. 10 pages, 2 figures

R2 v1 2026-06-24T05:04:14.128Z