The Johnson homomorphism, embedding calculus and graph complexes

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Florian Naef, Thomas Willwacher
DOI: 10.48550/arxiv.2602.09915
Cited by: 0

Abstract

We explain how the Johnson homomorphism and the Enomoto-Satoh trace, as well as higher-loop-order generalizations, can be obtained from graph complexes originating in the Goodwillie-Weiss calculus. This paper can be seen as an addendum to our earlier work. It contains little new mathematical content, but is intended to give an overview of a different viewpoint on the Johnson homomorphism, for experts working mainly in the latter area.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Geometric and Algebraic Topology Advanced Topics in Algebra

Publication details

Journal / source
arXiv (Cornell University)
Publication date
10 February 2026
Language
EN
Document type
Preprint