Work

Normal generators for mapping class groups

Year: 2025

Type: preprint

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 Teichmüller space and the curve graph of the underlying surface. We also discuss several open questions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2504.14759

Authors: Baik, Hyungryul, Kim, Dongryul M.

Institution: Yale University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation, National Research Foundation of Korea, Korea Advanced Institute of Science and Technology, Ministry of Science and ICT, South Korea, Division of Mathematical Sciences

OpenAlex ID: W6929323439

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