#### Volume 20, issue 1 (2016)

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Kontsevich's Swiss cheese conjecture

### Justin Thomas

Geometry & Topology 20 (2016) 1–48
##### Bibliography
 1 M A Batanin, C Berger, The lattice path operad and Hochschild cochains, from: "Alpine perspectives on algebraic topology" (editors C Ausoni, K Hess, J Scherer), Contemp. Math. 504, Amer. Math. Soc. (2009) 23 MR2581904 2 C Berger, B Fresse, Combinatorial operad actions on cochains, Math. Proc. Cambridge Philos. Soc. 137 (2004) 135 MR2075046 3 C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697 4 C Berger, I Moerdijk, The Boardman–Vogt resolution of operads in monoidal model categories, Topology 45 (2006) 807 MR2248514 5 C Berger, I Moerdijk, Resolution of coloured operads and rectification of homotopy algebras, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 31 MR2342815 6 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609 7 F R Cohen, The homology of Cn+1–spaces, n ≥ 0, 533, Springer (1976) MR0436146 8 K Costello, The A∞ operad and the moduli space of curves, preprint (2004) arXiv:math/0402015 9 V A Dolgushev, D E Tamarkin, B L Tsygan, Proof of Swiss cheese version of Deligne’s conjecture, Int. Math. Res. Not. 2011 (2011) 4666 MR2844935 10 M Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. 78 (1963) 267 MR0161898 11 E Getzler, Operads revisited, from: "Algebra, arithmetic, and geometry : in honor of Yu I Manin, I" (editors Y Tschinkel, Y Zarhin), Progr. Math. 269, Birkhäuser (2009) 675 MR2641184 12 J E Harper, Homotopy theory of modules over operads and non-Σ operads in monoidal model categories, J. Pure Appl. Algebra 214 (2010) 1407 MR2593672 13 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134 14 R M Kaufmann, A proof of a cyclic version of Deligne’s conjecture via cacti, Math. Res. Lett. 15 (2008) 901 MR2443991 15 R M Kaufmann, R Schwell, Associahedra, cyclohedra and a topological solution to the A∞ Deligne conjecture, Adv. Math. 223 (2010) 2166 MR2601011 16 M Kontsevich, Operads and motives in deformation quantization, Lett. Math. Phys. 48 (1999) 35 MR1718044 17 M Kontsevich, Y Soibelman, Deformations of algebras over operads and the Deligne conjecture, from: "Conférence Moshé Flato 1999, I" (editors G Dito, D Sternheimer), Math. Phys. Stud. 21, Kluwer (2000) 255 MR1805894 18 J Lurie, Higher algebra, preprint (2014) 19 J E McClure, J H Smith, A solution of Deligne’s Hochschild cohomology conjecture, from: "Recent progress in homotopy theory" (editors D M Davis, J Morava, G Nishida, W S Wilson, N Yagita), Contemp. Math. 293, Amer. Math. Soc. (2002) 153 MR1890736 20 D P Sinha, The (non-equivariant) homology of the little disks operad, from: "Operads 2009" (editors J L Loday, B Vallette), Sémin. Congr. 26, Soc. Math. France, Paris (2013) 253 MR3203375 21 M Spitzweck, Operads, algebras and modules in general model categories, preprint (2001) arXiv:math/0101102 22 D E Tamarkin, Operadic proof of M Kontsevich’s formality theorem, PhD thesis, The Pennsylvania State University (1999) MR2699544 23 J Thomas, Forests and the W construction, preprint (2012) arXiv:1210.0883 24 B Vallette, Manin products, Koszul duality, Loday algebras and Deligne conjecture, J. Reine Angew. Math. 620 (2008) 105 MR2427978 25 A A Voronov, The Swiss-cheese operad, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 365 MR1718089 26 A A Voronov, Homotopy Gerstenhaber algebras, from: "Conférence Moshé Flato 1999, II" (editors G Dito, D Sternheimer), Math. Phys. Stud. 22, Kluwer (2000) 307 MR1805923