Operads, Graph complexes, and Grothendieck-Teichmuller groups - Part 1

By Benoît Fresse

Appears in collection : 2023 - T2 - Higher structures in geometry and mathematical physics

1 - Introduction to operads

2 - Rational homotopy theory. Sullivan models. Applications to operads

3 - Mapping spaces and homotopy automorphism spaces of operads. Relationship with Grothendieck-Teichmüller groups. Applications to embedding calculus

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Bibliography

  • B. Fresse : Homotopy of operads & Grothendieck-Teichmüller groups / Mathematical Surveys and Monographs, vol. 217, American Mathematical Society (2017).

  • B. Fresse, V. Turchin and T. Willwacher : The rational homotopy of mapping spaces of E${}_n$ operads / Preprint arXiv:1703.06123 (2017).

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