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

2015/06/10 by Nariya Kawazumi, Kawazumi, Nariya
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1506.03174

openalex publication_date 2015/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A regular homotopy version of the Goldman-Turaev Lie bialgebra, the Enomoto-Satoh traces and the divergence cocycle in the Kashiwara-Vergne problem

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