The Betti side of the double shuffle theory. II. Double shuffle relations for associators

• Benjamin Enriquez ^[2] ; Hidekazu Furusho ^[1]
  1. [1] Nagoya University

     Nagoya University

     Naka-ku, Japón

     
  2. [2] Strasbourg et CNRS, France
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 29, Nº. 1, 2023
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We derive from the compatibility of associators with the module harmonic coproduct, obtained in Part I of the series, the inclusion of the torsor of associators into that of double shuffle relations, which completes one of the aims of this series. We define two stabilizer torsors using the module and algebra harmonic coproducts from Part I. We show that the double shuffle torsor can be described using the module stabilizer torsor, and that the latter torsor is contained in the algebra stabilizer torsor.