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Homotopy of Operads and Grothendieck–Teichmüller Groups, Part 1: Part 1: The Algebraic Theory and its Topological Background


About this Title

Benoit Fresse, Université de Lille 1, Villeneuve d’Ascq, France

Publication: Mathematical Surveys and Monographs
Publication Year: 2017; Volume 217.1
ISBNs: 978-1-4704-3481-6 (print); 978-1-4704-3755-8 (online)
DOI: https://doi.org/10.1090/surv/217.1
MathSciNet review: MR3643404
MSC: Primary 55P48; Secondary 17B55, 18D50, 20F38, 20F40, 55P10, 55P62, 57T05

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Table of Contents


Front/Back Matter

From operads to Grothendieck–Teichmüller groups

The general theory of operads

Braids and $E_2$-operads

Hopf algebras and the Malcev completion

The operadic definition of the Grothendieck–Teichmüller group

Appendices

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