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