On homological stability for configuration spaces on closed background manifolds

zbMath1352.55008arXiv1406.4916MaRDI QIDQ273525

Martin Palmer, Federico Cantero Morán

Publication date: 22 April 2016

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.4916

zbMATH Keywords

configuration spaceshomological stabilityscanning mapclosed background manifoldsreplication map

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Localization and completion in homotopy theory (55P60) Discriminantal varieties and configuration spaces in algebraic topology (55R80)

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The braid group of a necklace ⋮ Motivic homological stability for configuration spaces of the line ⋮ Operations on stable moduli spaces ⋮ Homology stability for symmetric diffeomorphism and mapping class groups ⋮ Section problems for configuration spaces of surfaces ⋮ \(E_n\)-cell attachments and a local-to-global principle for homological stability ⋮ Sharper periodicity and stabilization maps for configuration spaces of closed manifolds

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