Lie algebra models for unstable homotopy theory.

@article{Heuts2019LieAM,
  title={Lie algebra models for unstable homotopy theory.},
  author={Gijs Heuts},
  journal={arXiv: Algebraic Topology},
  year={2019}
}
  • Gijs Heuts
  • Published 2019
  • Mathematics
  • arXiv: Algebraic Topology
  • Quillen showed how to describe the homotopy theory of simply-connected rational spaces in terms of differential graded Lie algebras. Here we survey a generalization of Quillen's results that describes the $v_n$-periodic localizations of homotopy theory (where rational corresponds to $n=0$) in terms of spectral Lie algebras. The latter form an extension of the theory of Lie algebras to the setting of stable homotopy theory. This is a chapter written for the Handbook of Homotopy Theory edited by… CONTINUE READING

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