Normal generators for mapping class groups

Fuente: arXiv
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Autores principales: Baik, Hyungryul, Kim, Dongryul M.
Formato: Preprint
Publicado: 2025
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author Baik, Hyungryul
Kim, Dongryul M.
author_facet Baik, Hyungryul
Kim, Dongryul M.
contents 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 Teichmüller space and the curve graph of the underlying surface. We also discuss several open questions.
format Preprint
id arxiv_https___arxiv_org_abs_2504_14759
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Normal generators for mapping class groups
Baik, Hyungryul
Kim, Dongryul M.
Geometric Topology
Dynamical Systems
Group Theory
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 Teichmüller space and the curve graph of the underlying surface. We also discuss several open questions.
title Normal generators for mapping class groups
topic Geometric Topology
Dynamical Systems
Group Theory
url https://arxiv.org/abs/2504.14759