Normal generators for mapping class groups
Geometric Topology
2026-04-13 v2 Dynamical Systems
Group Theory
Abstract
In this chapter, we discuss normal generators for mapping class groups of surfaces. Especially, we focus on the relation between normal generation of a mapping class with its asymptotic translation lengths on the Teichm\"uller space and the curve graph of the underlying surface. We also discuss several open questions.
Cite
@article{arxiv.2504.14759,
title = {Normal generators for mapping class groups},
author = {Hyungryul Baik and Dongryul M. Kim},
journal= {arXiv preprint arXiv:2504.14759},
year = {2026}
}
Comments
30 pages, 8 figures. Final version. To appear in "In the Tradition of Thurston: Geometry and Topology'', Vol. 4. which is edited by A. Papadopoulos and K. Ohshika