Extremal stability for configuration spaces

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.

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

References in corpus (2)

• Betti numbers of configuration spaces of surfaces
• Stability in the high-dimensional cohomology of congruence subgroups