M. , Champs de modules des catégories linéaires et abéliennes, 2006.

M. Anel and A. , Sweedler Theory for (co)algebras and the bar-cobar constructions

C. Barwick and D. M. Kan, Relative categories:another model for the homotopy theory of homotopy theories, Indagationes Mathematicae, vol.23, pp.42-68, 2012.

C. Barwick and D. M. Kan, A characterization of simplicial localization functors and a discussion of DK equivalences, Indagationes Mathematicae, vol.23, pp.69-79, 2012.

H. Baues, The cobar construction as a Hopf algebra, Invent. Math, vol.132, issue.3, pp.467-489, 1998.

J. Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc, vol.359, pp.2043-2058, 2007.

J. Bergner, A survey of (?, 1)-categories, Towards Higher Categories, IMA Volumes in Mathematics and Its Applications, pp.69-83, 2010.

A. Blanc, L. Katzarkov, and P. Pandit, Generators in formal deformations of categories, vol.154, pp.2055-2089, 2018.

G. Borot, Lecture notes on topological recursion and geometry

D. Calaque and T. Willwacher, Triviality of the higher Formality Theorem, Proc. Amer. Math. Soc, vol.143, issue.12, pp.5181-5193, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00904247

D. Calaque, T. Pantev, B. Toen, M. Vaquié, and G. Vezzosi, Shifted Poisson structures and deformation quantization, J. Topol, vol.10, pp.483-584, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01253029

W. Chacholski and J. Scherer, Homotopy theory of diagrams, Mem. Amer. Math. Soc, vol.736, 2002.

M. Chas, D. Sullivan, and S. Topology,

M. Chas and D. Sullivan, Closed string operators in topology leading to Lie bialgebras and higher string algebra, pp.771-784, 2004.

K. Cieliebak, K. Fukaya, and J. Latscheev, Homological algebra related to surfaces with boundary

V. G. Drinfeld, On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal(Q/Q, Algebra i Analiz, vol.2, pp.829-860, 1990.

V. G. Drinfeld, Quantum groups, Proceedings of the International Congress of Mathematicians, vol.1, pp.798-820, 1986.

W. G. Dwyer and D. M. Kan, Simplicial localization of categories, J. Pure and Applied Algebra, vol.17, pp.267-284, 1980.

W. G. Dwyer and D. M. Kan, Calculating simplicial localizations, J. Pure and Applied Algebra, vol.18, pp.17-35, 1980.

W. G. Dwyer and D. M. Kan, Function complexes in homotopical algebra, Topology, vol.19, pp.427-440, 1980.

W. G. Dwyer and D. M. Kan, Homotopy theory and simplicial groupoids, vol.46, pp.379-385, 1984.

B. Enriquez and P. Etingof, On the invertibility of quantization functors, J. Algebra, vol.289, issue.2, pp.321-345, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00087043

B. Enriquez and G. Halbout, Quantization of quasi-Lie bialgebras, J. Amer. Math. Soc, vol.23, pp.611-653, 2010.

B. Enriquez and G. Halbout, Quantization of coboundary Lie bialgebras, Ann. of Math, issue.2, pp.1267-1345, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00203468

P. Etingof and D. Kazhdan, Quantization of Lie bialgebras I, Selecta Math. (N. S.), vol.2, issue.1, pp.1-41, 1996.

P. Etingof and D. Kazdhan, Quantization of Lie bialgebras, vol.II, pp.233-269, 1998.

J. Francis, The tangent complex and Hochschild cohomology of En-rings, Compositio Mathematica, vol.149, issue.3, pp.430-480, 2013.

J. Francis and D. Gaitsgory, Chiral Koszul duality, Selecta Math. New Ser, vol.18, pp.27-87, 2012.

B. Fresse, Koszul duality of operads and homology of partition posets, Homotopy theory: relations with algebraic geometry, group cohomology, and algebraic K-theory, 115-215, Contemp. Math, vol.346, 2004.

B. Fresse, Modules over operads and functors, Lecture Notes in Mathematics, 1967.

B. Fresse, Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads, Alpine perspectives on algebraic topology, vol.504, pp.125-189, 2008.

B. Fresse, Props in model categories and homotopy invariance of structures, Georgian Math. J, vol.17, pp.79-160, 2010.

B. Fresse, Koszul duality of En-operads, Selecta Math. (N.S.), vol.17, pp.363-434, 2011.

B. Fresse, Iterated bar complexes of E-infinity algebras and homology theories, Alg. Geom. Topol, vol.11, pp.747-838, 2011.

B. Fresse, Homotopy of operads and Grothendieck-Teichmuller groups: Parts 1 and 2, Mathematical Surveys and Monographs 217, 2017.

B. Fresse and T. Willwacher, The intrinsic formality of En-operads

M. Gerstenhaber and S. D. Schack, Algebras, bialgebras, quantum groups, and algebraic deformations, Deformation theory and quantum groups with applications to mathematical physics, Contemp. Math, vol.134, pp.51-92, 1990.

E. Getzler and P. Goerss, A model category structure for differential graded coalgebras, 1999.

E. Getzler and J. D. Jones, Operads, homotopy algebra and iterated integrals for double loop spaces

G. Ginot, Homologie et modèle minimal des algèbres de Gerstenhaber, Annales Mathématiques Blaise Pascal, vol.11, issue.1, pp.95-127, 2004.

G. Ginot and G. Halbout, A Formality Theorem for Poisson Manifolds, Lett. Math. Phys, vol.66, pp.37-64, 2003.

G. Ginot, T. Tradler, and M. Zeinalian, A Chen model for mapping spaces and the surface product, Ann. Sc. de l'Éc. Norm. Sup, pp.811-881, 2010.

G. Ginot, T. Tradler, and M. Zeinalian, Higher Hochschild cohomology of E-infinity algebras, Brane topology and centralizers of E-n algebra maps

G. Ginot and B. Noohi, Group actions on stacks and applications to equivariant string topology for stacks

G. Ginot and S. Yalin, Deformation theory of bialgebras, higher Hochschild cohomology and formality, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01714212

V. Hinich, DG coalgebras as formal stacks, J. Pure Appl. Algebra, vol.162, pp.209-250, 2001.

V. Hinich, Tamarkin's proof of Kontsevich formality theorem, Forum Math, vol.15, pp.591-614, 2003.

V. Hinich, Dwyer-Kan localization revisited, Homology Homotopy Appl, vol.18, pp.27-48, 2016.

M. Hovey, Model categories, Mathematical Surveys and Monographs, vol.63, 1999.

P. S. Hirschhorn, Model categories and their localizations, Mathematical Surveys and Monographs, vol.99, 2003.

E. Hoffbeck, J. Leray, and B. Vallette, Properadic homotopical calculus

J. F. Jardine, Stacks and the homotopy theory of simplicial sheaves, Homology Homotopy Appl, vol.3, pp.361-384, 2001.

A. Kapustin, Topological field theory, higher categories, and their applications, Proceedings of the International Congress of Mathematicians, vol.III, pp.2021-2043, 2010.

B. Keller, A-infinity algebras, modules and functor categories, Trends in representation theory of algebras and related topics, vol.406, pp.67-93, 2006.

B. Keller and W. Lowen, On Hochschild cohomology and Morita deformations, Int. Math. Res. Not. IMRN, issue.17, pp.3221-3235, 2009.

M. Kontsevich, Operads and motives in deformation quantization, Moshé Flato, vol.48, pp.35-72, 1937.

M. Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys, vol.66, issue.3, pp.157-216, 2003.

M. Kontsevich and Y. Soibelman, Notes on A?-algebras, A?-categories and noncommutative geometry, Homological mirror symmetry, vol.757, pp.153-219

M. Kontsevich and Y. Soibelman, Airy structures and symplectic geometry of topological recursion

P. Lambrechts and I. Volic, Formality of the little N-disks operad, Mem. Amer. Math. Soc, vol.230, 1079.

J. Loday and B. Vallette, Algebraic Operads, Grundlehren der mathematischen Wissenschaften, vol.346, 2012.

J. Lurie, Derived Algebraic Geometry VI: E k algebras

J. Lurie, Derived Algebraic Geometry IX: Closed Immersions

J. Lurie, Derived Algebraic Geometry X: Formal Moduli Problems

J. Lurie, Derived Algebraic Geometry XIV: Representability Theorems

J. Lurie, Higher topos theory, vol.170, 2009.

J. Lurie, Higher Algebra, 2017.

S. Maclane, Categorical algebra, Bull. Amer. Math. Soc, vol.71, issue.1, pp.40-106, 1965.

J. P. May, The geometry of iterated loop spaces, 1972.

S. Merkulov and B. Vallette, Deformation theory of representation of prop(erad)s I, J. für die reine und angewandte Math, vol.634, pp.51-106, 2009.

S. Merkulov and B. Vallette, Deformation theory of representation of prop(erad)s II, J. für die reine und angewandte Math, vol.636, pp.125-174, 2009.

S. Merkulov, Prop profile of Poisson geometry, Comm. Math. Phys, vol.262, pp.117-135, 2006.

S. Merkulov, Formality theorem for quantization of Lie bialgebras, Lett. Math. Phys, vol.106, issue.2, pp.169-195, 2016.

S. Merkulov and T. , Willwacher Classification of universal formality maps for quantizations of Lie bialgebras

T. Nikolaus, U. Schreiber, and D. Stevenson, Principal ?-bundles: general theory, J. Homotopy Relat. Struct, vol.10, pp.749-801, 2015.

T. Nikolaus, U. Schreiber, and D. Stevenson, Principal ?-bundles: presentations, J. Homotopy Relat. Struct, vol.10, pp.565-622, 2015.

A. Pr and . Preygel, Thom-Sebastiani and Duality for Matrix Factorizations, and Results on the Higher Structures of the Hochschild Invariants, Thesis (Ph.D.), M.I.T, 2012.

J. P. Pridham, Unifying derived deformation theories, Adv. Math, vol.224, pp.772-826, 2010.

C. W. Rezk, Spaces of algebra structures and cohomology of operads, 1996.

C. W. Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc, vol.353, pp.973-1007, 2001.

S. Schwede and B. Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol, vol.3, pp.287-334, 2003.

D. Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math, vol.47, pp.269-331, 1977.

D. Tamarkin, Another proof of M. Kontsevich formality theorem, 1998.

D. Tamarkin, Formality of chain operad of little discs, Lett. Math. Phys, vol.66, pp.65-72, 2003.

D. Tamarkin, Deformation complex of a d-algebra is a (d+1)-algebra

B. Toën and G. Vezzosi, Homotopical Algebraic Geometry I: Topos theory, Adv. in Math, vol.193, pp.257-372, 2005.

B. Toën and G. Vezzosi, Homotopical algebraic geometry II. Geometric stacks and applications, Mem. Amer. Math. Soc, vol.193, issue.902, p.224, 2008.

B. Toën and M. Vaquié, Moduli of objects in dg-categories, Ann. Sci. de l'ENS, vol.40, pp.387-444, 2007.

B. Toën, Derived algebraic geometry, EMS Surv. Math. Sci, vol.1, issue.2, pp.153-240, 2014.

B. Toën, Derived Algebraic Geometry and Deformation Quantization

B. ,

. Toën, Problèmes de modules formels, Séminaire BOURBAKI 68ème année, p.1111, 2015.

B. Vallette, A Koszul duality for props, Trans. Amer. Math. Soc, vol.359, pp.4865-4943, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00581048

S. Yalin, The homotopy theory of bialgebras over pairs of operads, J. Pure Appl. Algebra, vol.218, pp.973-991, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00785324

S. Yalin, Simplicial localization of homotopy algebras over a prop, Math. Proc. Cambridge Philos. Soc, vol.157, issue.3, pp.457-468, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00845807

S. Yalin, Maurer-Cartan spaces of filtered L?-algebras, J. Homotopy Relat. Struct, vol.11, issue.3, pp.375-407, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01064418

S. Yalin, Moduli stacks of algebraic structures and deformation theory, J. Noncommut. Geom, vol.10, pp.579-661, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01710705

S. Yalin, Function spaces and classifying spaces of algebras over a prop, Algebraic and Geometric, Topology, vol.16, pp.2715-2749, 2016.