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arXiv · 1907.13055

Lie algebra models for unstable homotopy theory

Gijs Heuts
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Abstract

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 Haynes Miller.

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Gijs Heuts. 2019-07-30. Lie algebra models for unstable homotopy theory. https://arxiv.org/abs/1907.13055

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