• DOI:10.4171/emss/36
Corpus ID: 202538615

Johnson Homomorphisms.

@article{Hain2019JohnsonH,
  title={Johnson Homomorphisms.},
  author={R. Hain},
  journal={arXiv: Geometric Topology},
  year={2019}
}

R. Hain

Published 2019

Mathematics

arXiv: Geometric Topology

This paper surveys work on generalized Johnson homomorphisms and tools for studying them. The goal is to unite several related threads in the literature and to clarify existing results and relationships among them using Hodge theory. We survey the work of Alekseev, Kawazumi, Kuno and Naef on the Goldman--Turaev Lie bialgebra, and the work of various authors on cohomological methods for determining the stable image of generalized Johnson homomorphisms. Various open problems and conjectures are… CONTINUE READING

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