The Johnson homomorphism, embedding calculus and graph complexes
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866911456464732160 |
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| author | Naef, Florian Willwacher, Thomas |
| author_facet | Naef, Florian Willwacher, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_09915 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Johnson homomorphism, embedding calculus and graph complexes Naef, Florian Willwacher, Thomas Quantum Algebra 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. |
| title | The Johnson homomorphism, embedding calculus and graph complexes |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2602.09915 |