Table of Contents:
  • Contents
  • Preface
  • Definitions: operads, algebras and modules
  • The pre-history of operads
  • Operads, algebras, and modules
  • Relating the associahedron and the permutohedron
  • Combinatorial models for real configuration spaces and En-operads
  • From operads to 'physically' inspired theories
  • Operades des algebres (k + 1)-aires
  • Coproduct and cogroups in the category of graded dual Leibniz algebras
  • Cohomology of monoids in monoidal categories
  • Distributive laws, bialgebras, and cohomology
  • Deformations of algebras over a quadratic operad
  • Q-rings and the homology of the symmetric groups0. Introduction
  • 1. Q-rings and modules
  • 2. The Kudo-Araki algebra K and its dual
  • 3. Free Q-rings
  • 4. The extended Milnor coalgebra A
  • 5. The Nishida relations
  • 6. Q-coalgebras
  • Appendix A
  • Appendix B
  • Appendix C
  • References
  • Operadic tensor products and smash products
  • Homotopy Gerstenhaber algebras and topological field theory
  • Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories
  • Modular functor and representation theory of sl2 at a rational levelQuantum generalized cohomology
  • Non-commutative reciprocity laws associated to finite groups
  • Index