Twisted homological stability for configuration spaces

@article{Palmer2013TwistedHS,
  title={Twisted homological stability for configuration spaces},
  author={Martin Palmer},
  journal={Homology, Homotopy and Applications},
  year={2013},
  volume={20},
  pages={145-178}
}
  • Martin Palmer
  • Published 20 August 2013
  • Mathematics
  • Homology, Homotopy and Applications
Let M be an open, connected manifold. A classical theorem of McDuff and Segal states that the sequence of configuration spaces of n unordered, distinct points in M is homologically stable with coefficients in Z: in each degree, the integral homology is eventually independent of n. The purpose of this note is to prove that this phenomenon also holds for homology with twisted coefficients. We first define an appropriate notion of finite-degree twisted coefficient system for configuration spaces… 
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