Linear stable ranges for integral homotopy groups of configuration spaces
Abstract
Abstract We prove explicit linear stable ranges for the ‐modules and with being the configuration ‐space of a ‐dimensional manifold with . The proof of this result uses a homotopy‐theoretic approach to representation stability for ‐modules. This allows us to derive representation stability results from homotopy‐theoretical statements, in particular the generalized Blakers–Massey theorem. We also generalize to ‐modules and orbit configuration spaces.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Topology and Set Theory
Publication details
- Journal / source
- Journal of Topology
- Volume
- 19
- Issue
- 2
- Publication date
- 24 April 2026
- Language
- EN