Sharper periodicity and stabilization maps for configuration spaces of closed manifolds

  • Kupers A
  • Miller J
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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.

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APA

Kupers, A., & Miller, J. (2016). Sharper periodicity and stabilization maps for configuration spaces of closed manifolds. Proceedings of the American Mathematical Society, 144(12), 5457–5468. https://doi.org/10.1090/proc/13181

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