Table of Contents:
  • Algebras, Coalgebras, Homology
  • Twisting Morphisms
  • Koszul Duality for Associative Algebras
  • Methods to Prove Koszulity of an Algebra
  • Algebraic Operad
  • Operadic Homological Algebra
  • Koszul Duality of Operads
  • Methods to Prove Koszulity of an Operad
  • The Operads As and A∞
  • Homotopy Operadic Algebras
  • Bar and Cobar Construction of an Algebra over an Operad
  • (Co)Homology of Algebras over an Operad
  • Examples of Algebraic Operads.