Operads : Proceedings of Renaissance Conferences.

Intro -- 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 groups -- 0. 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 level -- Quantum generalized cohomology -- Non-commutative reciprocity laws associated to finite groups -- Index.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.