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Cover -- Title page -- Contents -- Preliminaries -- Preface -- Mathematical Objectives -- Foundations and Conventions -- Reading Guide and Overview of this Volume -- Part I . From Operads to Grothendieck-Teichmüller Groups -- Part I(a) . The General Theory of Operads -- Chapter …
The Grothendieck-Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphi…
The algebraic theory and its topological background -- The applications of (rational) homotopy theory methods