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All known realizations of complete Lie algebras coincide

Yves Félix, Mario Fuentes and Aniceto Murillo

Algebraic & Geometric Topology 25 (2025) 1155–1167
Bibliography
1 H J Baues, J M Lemaire, Minimal models in homotopy theory, Math. Ann. 225 (1977) 219 MR431172
2 A Berglund, Rational homotopy theory of mapping spaces via Lie theory for L-algebras, Homology Homotopy Appl. 17 (2015) 343 MR3431305
3 U Buijs, Y Félix, A Murillo, D Tanré, The infinity Quillen functor, Maurer–Cartan elements and DGL realizations, preprint (2017) arXiv:1702.04397
4 U Buijs, Y Félix, A Murillo, D Tanré, Lie models in topology, 335, Birkhäuser (2020) MR4212536
5 U Buijs, Y Félix, A Murillo, D Tanré, Lie models of simplicial sets and representability of the Quillen functor, Israel J. Math. 238 (2020) 313 MR4145802
6 Y Félix, S Halperin, Enriched differential Lie algebras in topology, preprint (2022) arXiv:2208.12171
7 B Fresse, Homotopy of operads and Grothendieck–Teichmüller groups, I : The algebraic theory and its topological background, 217, Amer. Math. Soc. (2017) MR3643404
8 E Getzler, Lie theory for nilpotent L-algebras, Ann. of Math. 170 (2009) 271 MR2521116
9 V Hinich, Descent of Deligne groupoids, Int. Math. Res. Not. 1997 (1997) 223 MR1439623
10 M Majewski, Rational homotopical models and uniqueness, 682, Amer. Math. Soc. (2000) MR1751423
11 J P May, Simplicial objects in algebraic topology, 11, Van Nostrand (1967) MR222892
12 J P Pridham, Pro-algebraic homotopy types, Proc. Lond. Math. Soc. 97 (2008) 273 MR2439664
13 D Quillen, Rational homotopy theory, Ann. of Math. 90 (1969) 205 MR258031
14 D Robert-Nicoud, Representing the deformation -groupoid, Algebr. Geom. Topol. 19 (2019) 1453 MR3954288
15 D Robert-Nicoud, B Vallette, Higher Lie theory, preprint (2020) arXiv:2010.10485
16 D Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977) 269 MR646078