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arXiv · 2602.09915

The Johnson homomorphism, embedding calculus and graph complexes

Florian Naef·Thomas Willwacher
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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.

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Florian Naef, Thomas Willwacher. 2026-02-10. The Johnson homomorphism, embedding calculus and graph complexes. https://arxiv.org/abs/2602.09915

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