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

About this Title

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)
MathSciNet review: MR3616816
MSC: Primary 55P62; Secondary 18D50, 55P48, 57T05

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Table of Contents

Front/Back Matter

Homotopy theory and its applications to operads

General methods of homotopy theory

Modules, algebras, and the rational homotopy of spaces

The (rational) homotopy of operads

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


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