AI & Computingarticle2026-08-28

Unstable homotopy groups and Lie algebras

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Abstract

We survey the role of Lie algebras in the study of unstable homotopy groups. This article is part of the theme issue 'Derived Lie algebras in geometry and topology'.

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View paper (DOI)Open access versionOpenAlexPhilosophical Transactions of the Royal Society A Mathematical Physical and Engineering SciencesPublished 2026-08-28

Authors: Mark Behrens, Connor Malin

Institutions: University of Notre Dame, Max Planck Institute for Mathematics