A tensorial description of the Turaev cobracket on genus 0 compact surfaces

Abstract

We give a tensorial description of the Turaev cobracket on any genus 0 compact surface through the standard group-like expansion, where the Bernoulli numbers appear.

References in corpus (2)

• Harmonic Magnus Expansion on the Universal Family of Riemann Surfaces
• A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem