# Homotopy of Operads and Grothendieck–Teichmüller Groups, Part 2: Part 2: The Applications of (Rational) Homotopy Theory Methods

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

Publication: Mathematical Surveys and Monographs
Publication Year: 2017; Volume 217.2
ISBNs: 978-1-4704-3482-3 (print); 978-1-4704-3757-2 (online)
DOI: https://doi.org/10.1090/surv/217.2
MathSciNet review: MR3616816
MSC: Primary 55P62; Secondary 18D50, 55P48, 57T05

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Front/Back Matter

Homotopy theory and its applications to operads

General methods of homotopy theory

Modules, algebras, and the rational homotopy of spaces

Applications of the rational homotopy to $E_n$-operads

The computation of homotopy automorphism spaces of operads

The applications of homotopy spectral sequences

The case of $E_n$-operads

Conclusion: A survey of further research on operadic mapping spaces and their applications

Appendices

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