Sharper periodicity and stabilization maps for configuration spaces of\n closed manifolds

2015/09/21 by Alexander Kupers, Jeremy Miller, Kupers, Alexander +1 · 1 citation
Computer Science · Mathematics · #55R40 #55R80 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1509.06410

openalex publication_date 2015/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we study the homology of configuration spaces of closed\nmanifolds. We sharpen the eventual periodicity results of Nagpal and\nCantero-Palmer, prove integral homological stability for configuration spaces\nof odd-dimensional manifolds and introduce a stabilization map on the homology\nwith Z[1/2]-coefficients of configuration spaces of odd-dimensional\nmanifolds.\n

Cited by

• Periodicity in the homology of moduli spaces of disconnected submanifolds

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