Finiteness properties of the Torelli group of surfaces with 2 boundary components
Abstract
In this paper we prove that the Torelli group of a surface of genus at least 3 with 2 boundary components is finitely generated. As a consequence, we answer Putman's question on the finite generation of the stabilizer subgroup of the Torelli group of a non separating simple closed curve. Furthermore, we prove that the Johnson kernel is finitely generated if the genus of the surface is at least 5 and has 2 boundary components.
Fields of Study & Subjects
Geometric and Algebraic Topology
Finite Group Theory Research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 9 January 2026
- Document type
- Preprint