Download this article
 Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types

Yves Félix, Mario Fuentes and Aniceto Murillo

Algebraic & Geometric Topology 24 (2024) 2285–2305
Bibliography
1 A Berglund, Rational homotopy theory of mapping spaces via Lie theory for L–algebras, Homology Homotopy Appl. 17 (2015) 343 MR3431305
2 A Berglund, T Zeman, Algebraic models for classifying spaces of fibrations, preprint (2022) arXiv:2203.02462
3 D Blanc, Moduli spaces of homotopy theory, from: "Geometry, spectral theory, groups, and dynamics" (editors M Entov, Y Pinchover, M Sageev), Contemp. Math. 387, Amer. Math. Soc. (2005) 37 MR2179785
4 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
5 U Buijs, Y Félix, A Murillo, D Tanré, Homotopy theory of complete Lie algebras and Lie models of simplicial sets, J. Topol. 11 (2018) 799 MR3989431
6 U Buijs, Y Félix, A Murillo, D Tanré, Lie models in topology, 335, Birkhäuser (2020) MR4212536
7 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
8 Y Félix, M Fuentes, A Murillo, Lie models of homotopy automorphism monoids and classifying fibrations, Adv. Math. 402 (2022) 108359 MR4401825
9 Y Félix, S Halperin, J C Thomas, Rational homotopy theory, 205, Springer (2001) MR1802847
10 S Halperin, J Stasheff, Obstructions to homotopy equivalences, Adv. Math. 32 (1979) 233 MR0539532
11 Y Haralambous, Coformalité modérée et formalité des CW-complexes de dimension finie, C. R. Acad. Sci. Paris Sér. I Math. 311 (1990) 365 MR1071645
12 V Roca i Lucio, The integration theory of curved absolute homotopy Lie algebras, preprint (2022) arXiv:2207.11115
13 J Neisendorfer, Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces, Pacific J. Math. 74 (1978) 429 MR0494641
14 A Oukili, Sur l’homologie d’une algébre différentielle (de Lie), PhD thesis, Université de Nice (1978)
15 D Quillen, Rational homotopy theory, Ann. of Math. 90 (1969) 205 MR0258031
16 M Schlessinger, J Stasheff, Deformation theory and rational homotopy type, preprint (2012) arXiv:1211.1647
17 D Tanré, Homotopie rationnelle : modèles de Chen, Quillen, Sullivan, 1025, Springer (1983) MR0764769
18 M D Zawodniak, A moduli space for rational homotopy types with the same homotopy Lie algebra, PhD thesis, University of Georgia (2016)