Corpus ID: 201670248

The Lubin-Tate Theory of Configuration Spaces: I

@inproceedings{Brantner2019TheLT,
  title={The Lubin-Tate Theory of Configuration Spaces: I},
  author={Lukas Brantner and Jeremy Hahn and Ben Knudsen},
  year={2019}
}
  • Lukas Brantner, Jeremy Hahn, Ben Knudsen
  • Published 2019
  • Mathematics
  • We construct a spectral sequence converging to the Morava $E$-theory of unordered configuration spaces and identify its E$^2$-page as the homology of a Chevalley-Eilenberg-like complex for Hecke Lie algebras. Based on this, we compute the $E$-theory of the weight $p$ summands of iterated loop spaces of spheres (parametrising the weight $p$ operations on $\mathbb{E}_n$-algebras), as well as the $E$-theory of the configuration spaces of $p$ points on a punctured surface. We read off the… CONTINUE READING

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