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Selecta Mathematica

, Volume 20, Issue 3, pp 817–822 | Cite as

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

  • Dan Petersen
Article

Abstract

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.

Keywords

Formal operad Grothendieck-Teichmüller group Drinfel’d associator 

Mathematics Subject Classification (2010)

55P48 18D50 14G32 55P62 53D55 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of MathematicsKTH Royal Institute of TechnologyStockholmSweden

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