Representation stability for marked graph complexes
Abstract
We prove a sharp representation stability result for graph complexes with a distinguished vertex, and prove that the chains realizing this sharp bound pass to non-trivial families of graph homology classes. This result may be interpreted as a higher genus generalization of Hersh and Reiner’s stability bound for configuration spaces of points in odd dimensional Euclidean space.
Fields of Study & Subjects
Topological and Geometric Data Analysis
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Publication details
- Journal / source
- Algebraic Combinatorics
- Volume
- 9
- Issue
- 3
- Pages
- 865–892
- Publication date
- 1 July 2026
- Language
- EN