Minimal models, GT-action and formality of the little disk operad

• Dan Petersen ^[1]
  1. [1] Royal Institute of Technology

     Royal Institute of Technology

     Suecia

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 20, Nº. 3, 2014, págs. 817-822
• Idioma: inglés
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• Resumen

  • We give a new proof of formality of the operad of little disks. The proof makes use of an operadic version of a simple formality criterion for commutative differential graded algebras due to Sullivan. We see that formality is a direct consequence of the fact that the Grothendieck–Teichmüller group operates on the chain operad of little disks.