Operads & Grothendieck-Teichmüller groups - draft document

Benoit Fresse 1, *
Abstract : This preprint is an extract from a research monograph, currently in preparation, on the homotopy of operads and Grothendieck-Teichmüller groups. The ultimate objective of this book is to prove that the Grothendieck-Teichmüller group is the group of homotopy automorphisms of a rational completion of the little 2-discs operad. The present excerpts include a comprehensive account of the fundamental concepts of operad theory, a survey chapter on little discs operads as well as a detailed account on the connections between little 2-discs, braid groups, and Grothendieck-Teichmüller groups, until the formulation of the main result of the monograph. Most concepts are carefully reviewed in order to make this account accessible to a broad readership, which should include graduate students as well as researchers coming from the various fields of mathematics related to our main topics. This draft document will serve as reference material for a master degree course "Operads 2012", given by the author at université Lille 1, from January until April 2012.
Type de document :
Pré-publication, Document de travail
201 pages. 2012
Liste complète des métadonnées

Littérature citée [70 références]  Voir  Masquer  Télécharger

Contributeur : Benoit Fresse <>
Soumis le : mercredi 4 janvier 2012 - 10:28:15
Dernière modification le : mardi 3 juillet 2018 - 11:43:56
Document(s) archivé(s) le : mardi 13 décembre 2016 - 19:33:12


Fichiers produits par l'(les) auteur(s)


  • HAL Id : hal-00656333, version 1



Benoit Fresse. Operads & Grothendieck-Teichmüller groups - draft document. 201 pages. 2012. 〈hal-00656333〉



Consultations de la notice


Téléchargements de fichiers