Title: Homotopy of Operads and Grothendieck-Teichmuller Groups : Part 1
Subjects: Homotopy theory, Operads, Grothendieck groups, Teichmüller spaces, Algebraic topology, Loop space machines, operads, Category theory; homological algebra, Homological algebra, Homotopical algebra, Homotopy equivalences, Rational homotopy theory, Manifolds and cell complexes, Homology and homotopy of topological groups and related structures, Hopf algebras, Group theory and generalizations, Permutation groups, Infinite automorphism groups, Special aspects of infinite or finite groups, Braid groups; Artin groups