Work

Self measurable embeddings of mapping class groups

Year: 2026

Type: preprint

Abstract: Given a finite-type orientable surface without boundary, outside of a few low-complexity surfaces, we show that any measurable embedding of the associated mapping class group into itself is a measure equivalence. This is a measure-theoretic analog to the result of Ivanov and McCarthy that mapping class groups are co-Hopfian.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.12054

Author: Gurieva, Alexandra

Institutions: École Normale Supérieure de Lyon, Unité de Mathématiques Pures et Appliquées

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221143127

Cites: 5

Cited by:

Related to: 10