Some References on Operads

The following are some references on operads. Most of them can be downloaded from the internet by clicking the links. If www.arxiv.org does not work, one can try cn.arxiv.org.

• M. Aguiar and J.-L. Loday, Quadri-algebras, arXiv:math/0309171.
• J. M. BOARDMAN and R. M. VOGT, Homotopy InvariantAlgebraic Structures on Topological Spaces, Lecture Notes in Math., vol. 347, Springer-Verlag, 1973.
• F. Chapoton and M. Livernet, Pre-Lie algebras and the rooted trees operad, IMRN 2001 vol. 8 p 395-408, arXiv:math/0002069.
• V. Dotsenko and A. Khoroshkin, Grobner bases for operads, Duke Math. J. Volume 153, Number 2 (2010), 363-396, arXiv:0812.4069.
• B. Fresse, Modules over operads and functors, Springer-Verlag Lecture Notes, arXiv:math/0704.3090v4.
• B. Fresse, Koszul duality of operads and homology of partition posets, arXiv:math/0301365.
• E. Getzler and J.D.S. Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, arXiv:hep-th/9403055.
• V. Ginzburg and M. Kapranov, Koszul duality for Operads, arXiv:0709.1228.
• R. Holtkamp, On Hopf algebra structures over operads, arXiv:math/0407074v2.
• Y. Huang, Operadic formulation of topological vertex algebras and Gerstenhaber or Batalin-Vilkovisky algebras, Commun.Math.Phys. 164 (1994) 105-144, arXiv:hep-th/9306021.
• Y. Huang and L. Kong, Open-string vertex algebras, tensor categories and operads, Commun.Math.Phys. 250 (2004) 433-471, arXiv:math/0308248.
• R. Kaufmann, On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra, to appear in Topology, arXiv:math/0308005.
• M. Kontsevich, Operads and Motives in Deformation Quantization, Lett.Math.Phys. 48 (1999) 35-72, arXiv:math/9904055.
• M. Kontsevich and Y. Soibelman, Deformations of algebras over operads and Deligne's conjecture, arXiv:math/0001151.
• T. Leinster, Higher Operads, Higher Categories, Cambridge University Press, arXiv:math/0305049.
• J.-L. Loday, Generalized bialgebras and triples of operads, Aste'risque 320 (2008), vi+114 pp., arXiv:math/0611885.
• J.-L. Loday, Scindement d'associativite et algebres de Hopf, Sem.Congr. 9, Soc.Math. France, (2004), 155-172, arXiv:math/0402084
• J.-L. Loday, Dialgebras, in "Dialgebras and related operads", 7--66, Lecture Notes in Math., 1763, Springer, Berlin 2001., arXiv:math/0102053.
• J.-L. Loday and M. Ronco, On the structure of cofree Hopf algebras, arXiv:math/0405330
• J.-L. Loday and M. Ronco, Trialgebras and families of polytopes, Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic $K$-theory, 369--398, Contemp. Math., 346, Amer. Math. Soc., Providence, RI, 2004, arXiv:math/0205043.
• J.-L. Loday and B. Vallette, Algebraic operads, book in preparation.
• M. Markl, Operads and PROPs, arXiv:math/0601129.
• MARTIN MARKL, STEVE SHNIDER, and JIM STASHEFF, Operads in Algebra, Topology and Physics, Math.Surveys Monogr., vol. 96, Amer. Math. Soc., Providence, RI, 2002.
• J. P. MAY, The Geometry of Iterated Loop Spaces, Lecture Notes in Math., vol. 271, Springer-Verlag, 1972.
• M. A. Mendez, Koszul duality for monoids and the operad of enriched rooted trees, arXiv:0812.4831.
• J. Stasheff, WHAT IS an operad? Notice AMS 51 (2004) 6,
• B. Vallette, A Koszul duality for props, Transactions of the A.M.S, arXiv:math/0411542.
• B. Vallette, Manin products, Koszul duality, Loday algebras and Deligne conjecture, arXiv:math/0609002