Extremal stability for configuration spaces

2021/09/08 by Ben Knudsen, Jeremy Miller, Knudsen, Ben +3
Mathematics · #55R80 17B56 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2109.03855

openalex publication_date 2021/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Localization and homological stability of configuration spaces
• Sharper periodicity and stabilization maps for configuration spaces of\n closed manifolds
• Stability in the homology of configuration spaces of high dimensional manifolds
• Secondary Homological Stability for Unordered Configuration Spaces
• Strong stability and shifted stability for the cohomology of configuration spaces