English

Extremal stability for configuration spaces

Algebraic Topology 2022-07-25 v2

Abstract

We study stability patterns in the high dimensional rational homology of unordered configuration spaces of manifolds. Our results follow from a general approach to stability phenomena in the homology of Lie algebras, which may be of independent interest.

Keywords

Cite

@article{arxiv.2109.03855,
  title  = {Extremal stability for configuration spaces},
  author = {Ben Knudsen and Jeremy Miller and Philip Tosteson},
  journal= {arXiv preprint arXiv:2109.03855},
  year   = {2022}
}

Comments

15 pages, 2 figures. To appear in Mathematische Annalen. May differ slightly from published version

R2 v1 2026-06-24T05:48:07.595Z