Sharper periodicity and stabilization maps for configuration spaces of closed manifolds
Algebraic Topology
2016-03-07 v4
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 -coefficients of configuration spaces of odd-dimensional manifolds.
Keywords
Cite
@article{arxiv.1509.06410,
title = {Sharper periodicity and stabilization maps for configuration spaces of closed manifolds},
author = {Alexander Kupers and Jeremy Miller},
journal= {arXiv preprint arXiv:1509.06410},
year = {2016}
}
Comments
9 pages, 1 figure. Improved the result for odd-dimensional manifolds. To appear in Proceedings of the AMS