Work

Cutting and pasting in the Torelli subgroup of Out(Fn)

Year: 2025

Type: article

Abstract: Using ideas from 3-manifolds, Hatcher--Wahl defined a notion of automorphism groups of free groups with boundary. We study their Torelli subgroups, adapting ideas introduced by Putman for surface mapping class groups. Our main results show that these groups are finitely generated, and also that they satisfy an appropriate version of the Birman exact sequence.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2025.25.1

Author: Jacob Landgraf

Institution: University of Notre Dame

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Science Foundation

Award: RTG: Geometry and Topology