A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem
arXiv:1406.0056
Abstract
By introducing a refinement of the Goldman-Turaev Lie bialgebra, we interpret the divergence cocycle in the Kashiwara-Vergne problem and the Enomoto-Satoh obstructions for the surjectivity of the Johnson homomorphisms as some part of a regular homotopy version of the Turaev cobracket.
An announcement on the author's research in progress. Submitted to SÅ«rikaisekikenkyÅ«sho KÅkyÅ«roku (RIMS, Kyoto University, Japan)