@article{CMJ_2007_57_1_a35,
author = {Markl, M.},
title = {Cohomology operations and the {Deligne} conjecture},
journal = {Czechoslovak Mathematical Journal},
pages = {473--503},
year = {2007},
volume = {57},
number = {1},
mrnumber = {2309979},
zbl = {1174.55002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a35/}
}
Markl, M. Cohomology operations and the Deligne conjecture. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 473-503. http://geodesic.mathdoc.fr/item/CMJ_2007_57_1_a35/
[1] C. Berger: Combinatorial models for real configuration spaces and $E_n$-operads. In: Operads: Proceedings of Renaissance Conferences. Contemporary Math., Vol. 202, J. L. Loday, J. D. Stasheff, and A. A. Voronov (eds.), Am. Math. Soc., 1997, pp. 37–52. | MR
[2] F. Chapoton, M. Livernet: Pre-Lie algebras and the rooted trees operad. Internat. Math. Res. Not. 8 (2001), 395–408. | MR
[3] I. Ciocan-Fontanine, M. Kapranov: Derived Hilbert schemes. J. Am. Math. Soc. 15 (2002), 787–815. | DOI | MR
[4] I. Ciocan-Fontanine, M. M. Kapranov: Derived Quot schemes. Ann. Sci. Éc. Norm. Supér, IV. Sér. 34 (2001), 403–440. | DOI | MR
[5] P. Deligne: A letter to Stasheff, Gerstenhaber, May, Schechtman and Drinfeld. Unpublished, 1993.
[6] A. Dzhumadil’daev, C. Löfwall: Trees, free right-symmetric algebras, free Novikov algebras and identities. Homotopy Homology Appl. 4 (2002), 165–190. | MR
[7] Z. Fiedorowicz: The symmetric bar construction. Preprint, available from the author’s home page.
[8] T. F. Fox, M. Markl: Distributive laws, bialgebras, and cohomology. Operads: Proceedings of Renaissance Conferences. Contemporary Math., Vol. 202, J.-L. Loday, J. D. Stasheff, and A. A. Voronov (eds.), 1997, pp. 167–205. | MR
[9] M. Gerstenhaber: The cohomology structure of an associative ring. Ann. Math. 78 (1963), 267–288. | DOI | MR | Zbl
[10] M. Gerstenhaber, S. D. Schack: Algebraic cohomology and deformation theory. In: Deformation Theory of Algebras and Structures and Applications, Kluwer, Dordrecht, 1988, pp. 11–264. | MR
[11] M. Gerstenhaber, A. A. Voronov: Higher operations on the Hochschild complex. Funct. Anal. Appl. 29 (1995), 1–5. (Russian) | DOI | MR
[12] E. Getzler, J. D. S. Jones: Operads, homotopy algebra, and iterated integrals for double loop spaces. Preprint hep-th/9403055, March 1994.
[13] V. Ginzburg, M. M. Kapranov: Koszul duality for operads. Duke Math. J. 76 (1994), 203–272. | DOI | MR
[14] V. Hinich: Tamarkin’s proof of Kontsevich formality theorem. Forum Mathematicum 15 (2003), 591–614. | MR | Zbl
[15] P. Hu: Higher string topology on general spaces. Proc. London Math. Soc. 93 (2006), 515–544. | DOI | MR | Zbl
[16] P. Hu, I. Kříž, and A. A. Voronov: On Kontsevich’s Hochschild cohomology conjecture. Compos. Math. 142 (2006), 143–168. | MR
[17] R. M. Kaufmann: On spineless cacti, Deligne’s conjecture and Connes-Kreimer’s Hopf algebra. Preprint math.QA/0308005, August 2003. | MR | Zbl
[18] A. A. Klyachko: Lie elements in the tensor algebra. Sib. Math. J. 15 (1974), 914–920. | DOI
[19] J. Kock, B. Toën: Simplicial localization of monoidal structures, and a non-linear version of Deligne’s conjecture. Compos. Math. 141 (2005), 253–261. | MR
[20] M. Kontsevich, Y. Soibelman: Deformations of algebras over operads and Deligne’s conjecture. Math. Phys. Stud. 21 (2000), 255–307. | MR
[21] I. Kříž, J. P. May: Operads, Algebras, Modules and Motives. Astérisque, Vol. 233. Société Mathématique de France, 1995. | MR
[22] T. Lada, M. Markl: Symmetric brace algebras. Appl. Categorical Structures 13 (2005), 351–370. | DOI | MR
[23] M. Markl: Cotangent cohomology of a category of deformations. J. Pure Appl. Algebra 113 (1996), 195–218. | DOI | MR | Zbl
[24] M. Markl: Models for operads. Commun. Algebra 24 (1996), 1471–1500. | DOI | MR | Zbl
[25] M. Markl: The existence of intrinsic brackets on the cohomology of bialgebras. Preprint math.AT/0411456, November 2004.
[26] M. Markl, S. Shnider, and J. D. Stasheff: Operads in Algebra, Topology and Physics. Mathematical Surveys and Monographs, Vol. 96. American Mathematical Society, Providence, 2002. | MR
[27] J. P. May: The Geometry of Iterated Loop Spaces. Lecture Notes in Mathematics, Vol. 271. Springer-Verlag, New York, 1972. | MR
[28] J. E. McClure, J. H. Smith: A solution of Deligne’s Hochschild cohomology conjecture. In: Proceedings of the JAMI conference on Homotopy Theory. Contemp. Math. Vol. 293, 2002, pp. 153–193. | MR
[29] J. E. McClure, J. H. Smith: Multivariable cochain operations and little $n$-cubes. J. Am. Math. Soc. 16 (2003), 681–704. | DOI | MR
[30] P. Salvatore: Configuration spaces with summable labels. In: Cohomological Methods in Homotopy Theory. Proceedings of the Barcelona conference on algebraic topology (BCAT), Bellaterra, Spain, June 4-10, 1998. Prog. Math. 196, J. Aguadé (ed.), Birkhäuser-Verlag, Basel, 2001, pp. 375–395. | MR | Zbl
[31] M. Schlessinger, J. D. Stasheff: The Lie algebra structure of tangent cohomology and deformation theory. J. Pure Appl. Algebra 38 (1985), 313–322. | DOI | MR
[32] D. Tamarkin, B. Tsygan: Cyclic formality and index theorem. Lett. Math. Phys. 56 (2001), 85–97. | DOI | MR
[33] D. E. Tamarkin: Another proof of M. Kontsevich formality theorem. Preprint math.QA/9803025, March 1998.
[34] D. E. Tamarkin: Formality of chain operad of little discs. Lett. Math. Phys. 66 (2003), 65–72. | DOI | MR | Zbl
[35] P. van der Laan: Operads up to homotopy and deformations of operad maps. Preprint math.QA/0208041, August 2002.
[36] A. A. Voronov: Homotopy Gerstenhaber algebras. In: Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, II. Math. Phys. Stud. Vol. 22, G. Dito (ed.), Kluwer Academic Publishers, Providence, 2000, pp. 307–331. | MR | Zbl