English

The Arnoux-Yoccoz mapping classes via Penner's construction

Geometric Topology 2020-10-30 v2 Group Theory

Abstract

We give a new description of the Arnoux-Yoccoz mapping classes as a product of two Dehn twists and a finite order element. The construction is analogous to Penner's construction of mapping classes with small stretch factors.

Cite

@article{arxiv.1805.01248,
  title  = {The Arnoux-Yoccoz mapping classes via Penner's construction},
  author = {Livio Liechti and Balázs Strenner},
  journal= {arXiv preprint arXiv:1805.01248},
  year   = {2020}
}

Comments

9 figures, 13 pages

R2 v1 2026-06-23T01:43:55.236Z