timeline of the theory of operads

category: operads

  • J. P. May. The geometry of iterated loop spaces. Springer-Verlag, Berlin, 1972. Lec- tures Notes in Mathematics, Vol. 271.

  • J. M. Boardman and R. M. Vogt. Homotopy invariant algebraic structures on topo- logical spaces. Springer-Verlag, Berlin, 1973. Lecture Notes in Mathematics, Vol. 347.

  • Victor Ginzburg and Mikhail Kapranov. Koszul duality for operads. Duke Math. J., 76(1):203–272, 1994.

  • (J.-L. Loday. La renaissance des opérades. Astérisque, (237):Exp. No. 792, 3, 47–74, 1996. Séminaire Bourbaki, Vol. 1994/95.) monograph

  • J.-L. Loday, J. D. Stasheff, and A. A. Voronov, editors. Operads: Proceedings of Re- naissance Conferences, volume 202 of Contemporary Mathematics. American Math- ematical Society, Providence, RI, 1997.

  • 2001: (V. A. Smirnov. Simplicial and operad methods in algebraic topology, volume 198 of Translations of Mathematical Monographs. American Mathematical Society, Provi- dence, RI, 2001. Translated from the Russian manuscript by G. L. Rybnikov)

  • (M. Markl, S. Shnider, and J. Stasheff. Operads in algebra, topology and physics, vol- ume 96 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, 2002.)

  • 2003: Tom Leinster, Higher Operads, Higher Categories, arXiv:math/0305049v1

  • P. van der Laan. Operads. Hopf algebras and coloured Koszul duality. PhD thesis, Universiteit Utrecht, 2004.

  • 2007-2011 (Moerdijk et al)

    • 2007: Ieke Moerdijk, Ittay Weiss, dendroidal sets, arXiv:math/0701293v2, on inner Kan complexes in the category of dendroidal sets, arXiv:math/0701295v2

    • 2008: Clemens Berger, Ieke Moerdijk, on the derived category of an algebra over an operad, arXiv:0801.2664v2; Carles Casacuberta, Javier J. Gutierrez, Ieke Moerdijk, Rainer M. Vogt, arXiv:0806.3983v1

    • 2009: Denis-Charles Cisinski, Ieke Moerdijk, Dendroidal sets as models for homotopy operads, arXiv:0902.1954v1

    • 2010: Denis-Charles Cisinski, Ieke Moerdijk, Dendroidal Segal spaces and infinity-operads, arXiv:1010.4956

    • 2011: Denis-Charles Cisinski, Ieke Moerdijk, Dendroidal sets and simplicial operads, arXiv:1109.1004

  • 2008: F. Chapoton, operads and algebraic combinatorics of trees, pdf

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