paper

Normal generators for mapping class groups

arXiv:2504.14759

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.

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

Normal generators for mapping class groups · wovepaper