Koszul duality for Operads

  title={Koszul duality for Operads},
  author={Victor Ginzburg and Mikhail M. Kapranov},
  journal={arXiv: Algebraic Geometry},
(0.1) The purpose of this paper is to relate two seemingly disparate developments. One is the theory of graph cohomology of Kontsevich [Kon 2 3] which arose out of earlier works of Penner [Pe] and Kontsevich [Kon 1] on the cell decomposition and intersection theory on the moduli spaces of curves. The other is the theory of Koszul duality for quadratic associative algebras which was introduced by Priddy [Pr] and has found many applications in homological algebra, algebraic geometry and… 
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