Work

The Johnson homomorphism, embedding calculus and graph complexes

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2602.09915

Authors: Naef, Florian, Willwacher, Thomas

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, National Centres of Competence in Research SwissMAP, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

OpenAlex ID: W7128613298

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