Sharper periodicity and stabilization maps for configuration spaces of closed manifolds

Abstract

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

arXiv comment9 pages, 1 figure. Improved the result for odd-dimensional manifolds. To appear in Proceedings of the AMS