Towards the boundary of the fine curve graph
Abstract
Abstract The fine curve graph was introduced as a geometric tool to study homeomorphisms of surfaces. In this paper, we study the Gromov boundary of this space and the local topology near points associated with certain foliations and laminations. We then give several applications including finding dynamically explicit elements with positive stable commutator length, and proving a Tits alternative for subgroups of containing a pseudo‐Anosov map, generalising a result of Hurtado–Xue.
Fields of Study & Subjects
Computational Geometry and Mesh Generation
Computer Graphics and Visualization Techniques
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Journal of Topology
- Volume
- 19
- Issue
- 2
- Publication date
- 12 May 2026
- Language
- EN