Titre :

Operads & Grothendieck-Teichmüller groups - draft document

Auteur(s) :

Fresse, Benoit [Auteur correspondant]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Mot(s)-clé(s) en anglais :

Operads
Rational homotopy theory
Grothendieck-Teichmüller groups
Braid groups
En-operads
Homotopical algebra.
Homotopical algebra

Discipline(s) HAL :

Mathématiques [math]/Topologie algébrique [math.AT]

Résumé en anglais : [en]

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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Commentaire :

201 pages.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T10:37:50Z