Algebraic & Geometric Topology Volume 19, issue 3 (2019)

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Representing the deformation $\infty$–groupoid

Daniel Robert-Nicoud

Algebraic & Geometric Topology 19 (2019) 1453–1476

DOI: 10.2140/agt.2019.19.1453

Bibliography

1	R Bandiera, Higher Deligne groupoids, derived brackets and deformation problems in holomorphic Poisson geometry, PhD thesis, Università degli studi di Roma “La Sapienza” (2014)
2	R Bandiera, Descent of Deligne–Getzler ∞–groupoids, preprint (2017) arXiv:1705.02880
3	A Berglund, Rational homotopy theory of mapping spaces via Lie theory for L_∞–algebras, Homology Homotopy Appl. 17 (2015) 343 MR3431305
4	U Buijs, Y Félix, A Murillo, D Tanré, Lie models of simplicial sets and representability of the Quillen functor, preprint (2015) arXiv:1508.01442
5	U Buijs, Y Félix, A Murillo, D Tanré, The infinity Quillen functor, Maurer–Cartan elements and DGL realizations, preprint (2017) arXiv:1702.04397
6	X Z Cheng, E Getzler, Transferring homotopy commutative algebraic structures, J. Pure Appl. Algebra 212 (2008) 2535 MR2440265
7	V A Dolgushev, C L Rogers, A version of the Goldman–Millson theorem for filtered L_∞–algebras, J. Algebra 430 (2015) 260 MR3323983
8	V A Dolgushev, C L Rogers, On an enhancement of the category of shifted L_∞–algebras, Appl. Categ. Structures 25 (2017) 489 MR3669170
9	V Dotsenko, S Shadrin, B Vallette, Pre-Lie deformation theory, Mosc. Math. J. 16 (2016) 505 MR3510210
10	J L Dupont, Simplicial de Rham cohomology and characteristic classes of flat bundles, Topology 15 (1976) 233 MR0413122
11	E Getzler, Lie theory for nilpotent L_∞–algebras, Ann. of Math. 170 (2009) 271 MR2521116
12	P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
13	W M Goldman, J J Millson, The deformation theory of representations of fundamental groups of compact Kähler manifolds, Inst. Hautes Études Sci. Publ. Math. 67 (1988) 43 MR972343
14	V Hinich, Descent of Deligne groupoids, Int. Math. Res. Not. 1997 (1997) 223 MR1439623
15	L Lambe, J Stasheff, Applications of perturbation theory to iterated fibrations, Manuscripta Math. 58 (1987) 363 MR893160
16	R Lawrence, D Sullivan, A formula for topology/deformations and its significance, preprint (2006) arXiv:math/0610949
17	J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
18	D Robert-Nicoud, Deformation theory with homotopy algebra structures on tensor products, Doc. Math. 23 (2018) 189 MR3846059
19	D Robert-Nicoud, B Vallette, Higher Lie theory, in preparation
20	C L Rogers, Homotopical properties of the simplicial Maurer–Cartan functor, from: "2016 MATRIX annals" (editors D R Wood, J de Gier, C E Praeger, T Tao), MATRIX Book Ser. 1, Springer (2018) 3 MR3792513
21	D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 269 MR0646078
22	A Yekutieli, MC elements in pronilpotent DG Lie algebras, J. Pure Appl. Algebra 216 (2012) 2338 MR2927171