Lie algebra models for unstable homotopy theory

Gijs Heuts

Type: Book-Chapter

Publication Date: 2020-01-23

Citations: 0

DOI: https://doi.org/10.1201/9781351251624-16

Abstract

Quillen showed how to describe the homotopy theory of simplyconnected rational spaces in terms of differential graded Lie algebras.Here we survey a generalization of Quillen's results that describes the vn-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.

Locations

arXiv (Cornell University) - View - PDF
Chapman and Hall/CRC eBooks - View

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