@incollection {Aguiar00, AUTHOR = {Aguiar, M.}, TITLE = {Infinitesimal {H}opf algebras}, BOOKTITLE = {New trends in Hopf algebra theory (La Falda, 1999)}, SERIES = {Contemp. Math.}, VOLUME = {267}, PAGES = {1--29}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2000}, } @article{AguiarLivernet05, title = {{The associative operad and the weak order on the symmetric groups}}, author = {M. Aguiar and M. Livernet}, journal = {\texttt{arXiv:math.QA/0511698}}, year={2005} } @article {ArtinSchelter, AUTHOR = {Artin, Michael and Schelter, William F.}, TITLE = {Graded algebras of global dimension {$3$}}, JOURNAL = {Adv. in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {66}, YEAR = {1987}, NUMBER = {2}, PAGES = {171--216}} @inproceedings {Balavoine, AUTHOR = {Balavoine, D.}, TITLE = {Deformations of algebras over a quadratic operad}, BOOKTITLE = {Operads: Proceedings of Renaissance Conferences (Hartford, CT/Luminy, 1995)}, SERIES = {Contemp. Math.}, VOLUME = {202}, PAGES = {207--234}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1997},} @article {BarnichFulpLadaStasheff00, AUTHOR = {Barnich, G. and Fulp, R. and Lada, T. and Stasheff, J.}, TITLE = {Algebra structures on {${\rm Hom}(C,L)$}}, JOURNAL = {Comm. Algebra}, FJOURNAL = {Communications in Algebra}, VOLUME = {28}, YEAR = {2000}, NUMBER = {11}, PAGES = {5481--5501}, } @article {BergerDuboisVioletteWambst, AUTHOR = {Berger, Roland and Dubois-Violette, Michel and Wambst, Marc}, TITLE = {Homogeneous algebras}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {261}, YEAR = {2003}, NUMBER = {1}, PAGES = {172--185}, ISSN = {0021-8693}, CODEN = {JALGA4}} @article {BergerMoerdijk03, AUTHOR = {Berger, C. and Moerdijk, I.}, TITLE = {Axiomatic homotopy theory for operads}, JOURNAL = {Comment. Math. Helv.}, FJOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {78}, YEAR = {2003}, NUMBER = {4}, PAGES = {805--831}} @article{BorisovManin06, author = {D. Borisov and Yu I. Manin}, title = {Internal cohomomorhisms for operads}, journal = {\texttt{arXiv:math.CT/0609748}}, year = {2006} } @article {Brown59, AUTHOR = {Brown, Jr., E. H.}, TITLE = {Twisted tensor products. {I}}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {69}, YEAR = {1959}, PAGES = {223--246} } @article {ChapotonLivernet01, AUTHOR = {Chapoton, F. and Livernet, M.}, TITLE = {Pre-{L}ie algebras and the rooted trees operad}, JOURNAL = {Internat. Math. Res. Notices}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2001}, NUMBER = {8}, PAGES = {395--408},} @article {CiccoliGuerra03, AUTHOR = {Ciccoli, N. and Guerra, L}, TITLE = {The variety of {L}ie bialgebras}, JOURNAL = {J. Lie Theory}, FJOURNAL = {Journal of Lie Theory}, VOLUME = {13}, YEAR = {2003}, NUMBER = {2}, PAGES = {579--590}, } @article {ConnesKreimer98, AUTHOR = {Connes, A. and Kreimer, D.}, TITLE = {Hopf algebras, renormalization and noncommutative geometry}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {199}, YEAR = {1998}, NUMBER = {1}, PAGES = {203--242},} @article {Crans95, AUTHOR = {Crans, S. E.}, TITLE = {Quillen closed model structures for sheaves}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {101}, YEAR = {1995}, } @misc{Dolgushev07, title = {{Erratum to: "A Proof of Tsygan's Formality Conjecture for an Arbitrary Smooth Manifold"}}, author = {Vasiliy A. Dolgushev}, eprint = {arXiv:math.QA/0703113}, year={2007}} @article {Ebrahimi-FardGuo05, AUTHOR = {Ebrahimi-Fard, K. and Guo, L.}, TITLE = {On products and duality of binary, quadratic, regular operads}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {200}, YEAR = {2005}, NUMBER = {3}, PAGES = {293--317}} @incollection {Frabetti01, AUTHOR = {Frabetti, A.}, TITLE = {Dialgebra (co)homology with coefficients}, BOOKTITLE = {Dialgebras and related operads}, SERIES = {Lecture Notes in Math.}, VOLUME = {1763}, PAGES = {67--103}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {2001}, MRCLASS = {17A30 (17A32 18D50 18G60)}, MRNUMBER = {MR1860995 (2002i:17003)}, MRREVIEWER = {Teimuraz Pirashvili}, } @incollection {Fresse04, AUTHOR = {Fresse, B.}, TITLE = {Koszul duality of operads and homology of partition posets}, BOOKTITLE = {Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic $K$-theory}, SERIES = {Contemp. Math.}, VOLUME = {346}, PAGES = {115--215}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2004},} @misc{Fresse06, title = {{The bar construction of an E-infinite algebra}}, author = {Benoit Fresse}, eprint = {arXiv:math.AT/0601085}, year={2006}} @article {G, AUTHOR = {Gan, W. L.}, TITLE = {Koszul duality for dioperads}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {10}, YEAR = {2003}, NUMBER = {1}, PAGES = {109--124}, ISSN = {1073-2780}, } @article {Gan05, AUTHOR = {Gan, W. L.}, TITLE = {On a theorem of {C}onant-{V}ogtmann}, JOURNAL = {Math. Res. Lett.}, FJOURNAL = {Mathematical Research Letters}, VOLUME = {12}, YEAR = {2005}, NUMBER = {5-6}, PAGES = {749--757}, } @article{Gerstenhaber63, AUTHOR = {Gerstenhaber, M.}, TITLE = {The cohomology structure of an associative ring}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {78}, YEAR = {1963}, PAGES = {267--288}, } @article{GerstenhaberSchack90, AUTHOR = {Gerstenhaber, M. and Schack, S.D.}, TITLE = {Bialgebra cohomology, deformations, and quantum groups}, JOURNAL = {Proc.\ Nat.\ Acad.\ Sci.\ USA}, VOLUME = {87}, YEAR = {1990}, PAGES = {478--481}, } @article{GerstenhaberVoronov95, AUTHOR = {Gerstenhaber, M. and Voronov, A.}, TITLE = {Homotopy {$G$}-algebras and moduli space operad}, JOURNAL = {Internat. Math. Res. Notices}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {1995}, NUMBER = {3}, PAGES = {141--153 (electronic)}, } @article {GetzlerKapranov98, AUTHOR = {Getzler, E. and Kapranov, M. M.}, TITLE = {Modular operads}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {110}, YEAR = {1998}, NUMBER = {1}, PAGES = {65--126}} @article{GetzlerJones94, title = {{Operads, homotopy algebra and iterated integrals for double loop spaces}}, author = {E. Getzler and J. D. S. Jones}, journal = {\texttt{hep-th/9403055}}, year= {1994}} @article {GinzburgKapranov94, AUTHOR = {Ginzburg, V. and Kapranov, M.}, TITLE = {Koszul duality for operads}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {76}, YEAR = {1994}, NUMBER = {1}, PAGES = {203--272},} @incollection {GoerssHopkins00, AUTHOR = {Goerss, P. G. and Hopkins, M. J.}, TITLE = {Andr\'e-{Q}uillen (co)-homology for simplicial algebras over simplicial operads}, BOOKTITLE = {Une d\'egustation topologique [Topological morsels]: homotopy theory in the Swiss Alps (Arolla, 1999)}, SERIES = {Contemp. Math.}, VOLUME = {265}, PAGES = {41--85}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2000}, } @article{Granaker06, AUTHOR = {Gran{\aa}ker, J.}, TITLE = {"Stong homotopy properad"}, JOURNAL = {preprint, \texttt{ArXiv:math.QA/0611066}}, YEAR = {2006}, } @article{GrothendieckTohoku, AUTHOR = {Grothendieck, A.}, TITLE = {Sur quelques points d'alg\`ebre homologique}, JOURNAL = {T\^ohoku Math. J. (2)}, FJOURNAL = {The Tohoku Mathematical Journal. Second Series}, VOLUME = {9}, YEAR = {1957}, PAGES = {119--221}, } @article{Hinich97, AUTHOR = {Hinich, V.}, TITLE = {Homological algebra of homotopy algebras}, JOURNAL = {Comm. Algebra}, FJOURNAL = {Communications in Algebra}, VOLUME = {25}, YEAR = {1997}, NUMBER = {10}, } @article{Hinich03, author = {V. Hinich}, title = {Erratum to "Homological algebra of homotopy algebras"}, journal = {{{\tt arXiv:math.QA/0309453}}}, year = {2003} } @book{Hovey99, AUTHOR = {Hovey, M.}, TITLE = {Model categories}, SERIES = {Mathematical Surveys and Monographs}, VOLUME = {63}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {1999}, PAGES = {xii+209}, } @article{Kadeshvili82, AUTHOR = {Kadeishvili, T. V.}, TITLE = {The algebraic structure in the homology of an {$A(\infty )$}-algebra}, JOURNAL = {Soobshch. Akad. Nauk Gruzin. SSR}, FJOURNAL = {Soobshcheniya Akademii Nauk Gruzinsko\u\i\ SSR}, VOLUME = {108}, YEAR = {1982}, NUMBER = {2}, PAGES = {249--252 (1983)}, ISSN = {0132-1447}, } @article{KapranovManin01, AUTHOR = {Kapranov, M. and Manin, Yu.}, TITLE = {Modules and {M}orita theorem for operads}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {123}, YEAR = {2001}, NUMBER = {5}, PAGES = {811--838}} @article{Kontsevich92, AUTHOR = {Kontsevich, M.}, TITLE = {Intersection theory on the moduli space of curves and the matrix {A}iry function}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {147}, YEAR = {1992}, NUMBER = {1}, PAGES = {1--23}} @article{Kontsevich99, AUTHOR = {Kontsevich, M.}, TITLE = {Operads and motives in deformation quantization}, NOTE = {Mosh\'e Flato (1937--1998)}, JOURNAL = {Lett. Math. Phys.}, FJOURNAL = {Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics}, VOLUME = {48}, YEAR = {1999}, NUMBER = {1}, PAGES = {35--72}, } @article{Ko, AUTHOR = {Kontsevich, M.}, TITLE = {Deformation quantization of {P}oisson manifolds}, JOURNAL = {Lett. Math. Phys.}, FJOURNAL = {Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics}, VOLUME = {66}, YEAR = {2003}, NUMBER = {3}, PAGES = {157--216}} @incollection{KontsevichSoibelman00, AUTHOR = {Kontsevich, M. and Soibelman, Y.}, TITLE = {Deformations of algebras over operads and the {D}eligne conjecture}, BOOKTITLE = {Conf\'erence Mosh\'e Flato 1999, Vol. I (Dijon)}, SERIES = {Math. Phys. Stud.}, VOLUME = {21}, PAGES = {255--307}, PUBLISHER = {Kluwer Acad. Publ.}, ADDRESS = {Dordrecht}, YEAR = {2000},} @incollection{Ko1, AUTHOR = {Kontsevich, M.}, TITLE = { Formal (non)commutative symplectic geometry}, BOOKTITLE = { Gel'fand mathematical seminars, 1990-1992}, PAGES = {173--187}, PUBLISHER = {Birkhauser}, YEAR = {1993},} @incollection{Ko2, AUTHOR = {Kontsevich, M.}, TITLE = { }, BOOKTITLE = {Letter to M.\ Markl}, YEAR = {2002},} @incollection{KontsevichSoibelman01, AUTHOR = {Kontsevich, M. and Soibelman, Y.}, TITLE = {Homological mirror symmetry and torus fibrations}, BOOKTITLE = {Symplectic geometry and mirror symmetry (Seoul, 2000)}, PAGES = {203--263}, PUBLISHER = {World Sci. Publ., River Edge, NJ}, YEAR = {2001}, } @article{KosmannSchwarzbach91, AUTHOR = {Kosmann-Schwarzbach, Y.}, TITLE = {Grand crochet, crochets de {S}chouten et cohomologies d'alg\`ebres de {L}ie}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.}, FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique}, VOLUME = {312}, YEAR = {1991}, NUMBER = {1}, PAGES = {123--126}, ISSN = {0764-4442}, } @article{LadaMarkl05, AUTHOR = {Lada, T. and Markl, M.}, TITLE = {Symmetric brace algebras}, JOURNAL = {Appl. Categ. Structures}, FJOURNAL = {Applied Categorical Structures. A Journal Devoted to Applications of Categorical Methods in Algebra, Analysis, Order, Topology and Computer Science}, VOLUME = {13}, YEAR = {2005}, NUMBER = {4}, PAGES = {351--370},} @article{Leroux04, AUTHOR = {Leroux, P.}, TITLE = {Ennea-algebras}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {281}, YEAR = {2004}, NUMBER = {1}, PAGES = {287--302},} @book {LodayFrabettiChapotonGoichot01, AUTHOR = {Loday, J.-L. and Frabetti, A. and Chapoton, F. and Goichot, F.}, TITLE = {Dialgebras and related operads}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {1763}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2001}, } @book {Lo, AUTHOR = {Loday, J.-L.}, TITLE = {Cyclic homology}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1998}, } @MISC{Loday04, author = {Loday, J.-L.}, title = {Completing the operadic butterfly}, url = {math/0409183}, year = {2004} } @incollection{LodayRonco04, AUTHOR = {Loday, J.-L. and Ronco, M.}, TITLE = {Trialgebras and families of polytopes}, BOOKTITLE = {Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic $K$-theory}, SERIES = {Contemp. Math.}, VOLUME = {346}, PAGES = {369--398}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2004}, } @ARTICLE{LodayRonco06, author = {J.-L. Loday and M. Ronco}, title = {On the structure of cofree Hopf algebras}, journal = {J. Reine Angew. Math.}, volume = {592}, pages = {123}, year = {2006} } @article{Loday06, title = {{Generalized bialgebras and triples of operads}}, author = {J.-L. Loday}, journal = {\texttt{arXiv:math.QA/0611885}}, year = {2006}} @incollection{Looijenga95, AUTHOR = {Looijenga, E.}, TITLE = {Cellular decompositions of compactified moduli spaces of pointed curves}, BOOKTITLE = {The moduli space of curves (Texel Island, 1994)}, SERIES = {Progr. Math.}, VOLUME = {129}, PAGES = {369--400}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {1995}} @article{NijenhuisRichardson67, AUTHOR = {Nijenhuis, A. and Richardson, Jr., R. W.}, TITLE = {Deformations of {L}ie algebra structures}, JOURNAL = {J. Math. Mech.}, VOLUME = {17}, YEAR = {1967}, PAGES = {89--105}, } @book{MacLane, AUTHOR = {Mac Lane, Saunders}, TITLE = {Categories for the working mathematician}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {5}, EDITION = {Second}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1998}, PAGES = {xii+314}, ISBN = {0-387-98403-8}, MRCLASS = {18-02}, MRNUMBER = {MR1712872 (2001j:18001)}, } @article{MajumdarMukherjee04, AUTHOR = {Majumdar, A. and Mukherjee, G.}, TITLE = {Dialgebra cohomology as a {$G$}-algebra}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {356}, YEAR = {2004}, NUMBER = {6}, PAGES = {2443--2457 (electronic)},} @article{Markl96, AUTHOR = {Markl, M.}, TITLE = {Cotangent cohomology of a category and deformations}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {113}, YEAR = {1996}, NUMBER = {2}, PAGES = {195--218}, } @article{Markl04, author = {Markl, M.}, title = {Transferring $\textsc{A}_\infty$ (strongly homotopy associative) structures}, journal = {\texttt{arXiv:math.QA/0401007}}, year = {2004} } @article{Markl06, AUTHOR = {Markl, M.}, TITLE = {A resolution (minimal model) of the {PROP} for bialgebras}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {205}, YEAR = {2006}, NUMBER = {2}, PAGES = {341--374}, ISSN = {0022-4049}, CODEN = {JPAAA2}, } @article{Markl05, author = {Markl, M.}, title = {Cohomology operations and the Deligne conjecture}, journal = {\texttt{arXiv.org:math/0506170}}, %url = {http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/0506170}, year = {2005} } @misc{MMS, title = {{Wheeled PROPs, graph complexes and the master equation}}, author = {M. Markl and S. Merkulov and S. Shadrin}, eprint = {arXiv:math.AG/0610683}} @book{MarklShniderStasheff02, AUTHOR = {Markl, M. and Shnider, S. and Stasheff, J.}, TITLE = {Operads in algebra, topology and physics}, SERIES = {Mathematical Surveys and Monographs}, VOLUME = {96}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2002},} @article{MV, title = {{PROPped up graph cohomology}}, author = {M. Markl and A. Voronov}, journal = {\texttt{arXiv:math.QA/0307081}}, year={2003}} @incollection{McClureSmith02, AUTHOR = {McClure, J. E. and Smith, J. H.}, TITLE = {A solution of {D}eligne's {H}ochschild cohomology conjecture}, BOOKTITLE = {Recent progress in homotopy theory (Baltimore, MD, 2000)}, SERIES = {Contemp. Math.}, VOLUME = {293}, PAGES = {153--193}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2002}, } @article{McClureSmith03, AUTHOR = {McClure, J. E. and Smith, J. H.}, TITLE = {Multivariable cochain operations and little {$n$}-cubes}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {16}, YEAR = {2003}, NUMBER = {3}, PAGES = {681--704 (electronic)}, } @article{Mc, AUTHOR = {McLane, S.}, TITLE = {Categorical algebra}, JOURNAL = {Bull.\ Amer.\ Math.\ Soc.}, VOLUME = {71}, YEAR = {1965}, NUMBER = {}, PAGES = {40--106}, } @article {MelanconReutenauer97, AUTHOR = {Melan{\c{c}}on, G. and Reutenauer, C.}, TITLE = {Free {L}ie superalgebras, trees and chains of partitions}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {5}, YEAR = {1996}, NUMBER = {4}, PAGES = {337--351} } @article{Merkulov99, title = {{Strongly homotopy algebras of a K\"ahler manifold}}, author = {S.A. Merkulov}, journal = {Internat. Math. Res. Notices, no.3, 153--164}, year={1999}} @article{Merkulov00, AUTHOR = {Merkulov, S. A.}, TITLE = {An {$L\sb \infty$}-algebra of an unobstructed deformation functor}, JOURNAL = {Internat. Math. Res. Notices}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2000}, NUMBER = {3}, PAGES = {147--164}} @article{Me2, AUTHOR = {Merkulov, S.A.}, TITLE = {Nijenhuis infinity and contractible dg manifolds, math.AG/0403244}, JOURNAL = {Compositio Mathematica}, YEAR = {2005}, NUMBER = {141}, PAGES = {1238-1254}} @article{Me1, AUTHOR = {Merkulov, S.A.}, TITLE = {Prop profile of Poisson geometry, math.DG/0401034}, JOURNAL = {Commun. Math. Phys.}, YEAR = {2006}, NUMBER = {262}, PAGES = {117-135}} @MISC{Me4, author = {Merkulov, S.A.}, title = {Deformation quantization of strongly homotopy Lie algebras}, url = {math/0612431}, year = {2006} } @MISC{OudomGuin04, author = {Oudom, J.-M. and Guin, D.}, title = {On the Lie envelopping algebra of a pre-Lie algebra}, url = {math/0404457}, year = {2004} } @book{Quillen67, AUTHOR = {Quillen, D. G.}, TITLE = {Homotopical algebra}, SERIES = {Lecture Notes in Mathematics, No. 43}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1967}, PAGES = {iv+156 pp.} } @article {QuillenRational, AUTHOR = {Quillen, D.}, TITLE = {Rational homotopy theory}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {90}, YEAR = {1969}, PAGES = {205--295}, } @incollection {Quillen70, AUTHOR = {Quillen, D.}, TITLE = {On the (co-) homology of commutative rings}, BOOKTITLE = {Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968)}, PAGES = {65--87}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, R.I.}, YEAR = {1970}, } @article{SU, author = {S. Saneblidze and R. Umble}, title = {Diagonals on the Permutahedra, Multiplihedra and Associahedra}, journal={Homology, homotopy and applications}, year = {2002} } @article {SchlessingerStasheff85, AUTHOR = {Schlessinger, M. and Stasheff, J.}, TITLE = {The {L}ie algebra structure of tangent cohomology and deformation theory}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {38}, YEAR = {1985}, NUMBER = {2-3}, PAGES = {313--322}, } @article{Shoikhet03, title = {{A concept of $\frac23$PROP and deformation theory of (co)associative bialgebras}}, author = {Shoikhet, B.}, journal = {{\tt arXiv:math.QA/0311337}}, year={2003}} @article{Shoikhet04, title = {{An explicit formula for the deformation quantization of Lie bialgebras}}, author = {Shoikhet, B.}, JOURNAL = {{\tt arXiv:math.QA/0402046}}, year={2004} } @article{Sinha05, author = {Dev P. Sinha}, title = {A pairing between graphs and trees}, journal = {\texttt{math.QA/0502547}}, year = {2005} } @article{Spitzweck01, author = {M. Spitzweck}, title = {Operads, Algebras and Modules in General Model Categories}, JOURNAL = {{\tt arXiv:math.AT/0101102}}, year = {2001} } @article {Stasheff63, AUTHOR = {Stasheff, J. D.}, TITLE = {Homotopy associativity of {$H$}-spaces. {I}, {II}}, JOURNAL = {Trans. Amer. Math. Soc. 108 (1963), 275-292; ibid.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {108}, YEAR = {1963}, PAGES = {293--312}, } @article {Stasheff93, AUTHOR = {Stasheff, J.}, TITLE = {The intrinsic bracket on the deformation complex of an associative algebra}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {89}, YEAR = {1993}, NUMBER = {1-2}, PAGES = {231--235},} @MISC{Ta, author = {D. E. Tamarkin}, title = {Another proof of M. Kontsevich formality theorem}, url = {http://www.citebase.org/abstract?id=oai:arXiv.org:math/9803025}, year = {1998} } @MISC{tamarkin00, author = {D. E. Tamarkin}, title = {Deformation complex of a d-algebra is a (d+1)-algebra}, url = {http://www.citebase.org/abstract?id=oai:arXiv.org:math/0010072}, year = {2000} } @article {Tonks, AUTHOR = {Tonks, Andy}, TITLE= {Relating the associahedron and the permutohedron}, JOURNAL={Loday, Jean-Louis (ed.) et al., Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May--June 1995, Hartford, CT, USA/Luminy, France. Providence, RI: American Mathematical Society. Contemp. Math. 202, 33-36 (1997).}, YEAR={1995}} @article{Tourtchine04, author = {V. Tourtchine}, title = {On the other side of the bialgebra of chord diagrams}, journal = {\texttt{math.QA/0411436}}, year = {2004} } @article {V, AUTHOR = {Vallette, B.}, TITLE = {A Koszul duality for props}, JOURNAL = {To appear in Trans. of Amer. Math. Soc.}, YEAR = {2003}, } @article {Vallette06Preprint, AUTHOR = {Vallette, B.}, TITLE = {Manin products, Koszul duality, Loday algebras and Deligne conjecture}, JOURNAL = {preprint}, YEAR = {2006}, } @article {Vallette04, AUTHOR = {Vallette, B.}, TITLE = {Free Monoid in monoidal abelian categories}, JOURNAL = {preprint}, YEAR = {2004}, } @MISC{Vallette06, author = {Vallette, B.}, title = {Homology of generalized partition posets}, url = {http://www.citebase.org/cgi-bin/citations?id=oai:arXiv.org:math/0405312}, year = {2004} } @article{Vallette07, author = {Vallette, B.}, title = {Homological Perturbation Lemma}, journal = {in preparation}, year = {2007} } @article{VanderLaan02, author = {Van der Laan, P.}, title = {{Operads up to Homotopy and Deformations of Operad Maps}}, journal= {\texttt{arXiv:math.QA/0208041}}, year={2002}} @article{VanDerLaan03, author = {Van der Laan, P.}, title = {Coloured Koszul duality and strongly homotopy operads}, journal={\texttt{arXiv:math.QA/0312147}}, year = {2003} } @book {Weibel, AUTHOR = {Weibel, C. A.}, TITLE = {An introduction to homological algebra}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {38}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1994},} @misc{Zvonkine02, title = {{Strebel differentials on stable curves and Kontsevich's proof of Witten's conjecture}}, author = {D. Zvonkine}, url = {arXiv:math.AG/0209071}}