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Realization of Lie
algebras of derivations and moduli spaces of some rational
homotopy types
Yves Félix, Mario Fuentes and Aniceto Murillo |
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Algebraic & Geometric Topology 24 (2024) 2285–2305
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Abstract |
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We construct Lie algebras of derivations (and identify their geometric realizations) whose Maurer–Cartan sets provide moduli spaces describing the classes of homotopy types of rational spaces having the same homotopy Lie algebra, homology or cohomology. |
Keywords
rational homotopy, deformation of Lie algebras
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Mathematical Subject Classification
Primary: 55P62
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References |
Publication
Received: 22 September 2022
Revised: 11 February 2023
Accepted: 4 March 2023
Published: 16 July 2024
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Authors |
| Yves Félix | |
| Département de Mathématiques Université Catholique de Louvain Louvain-la-Neuve Belgium |
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| Mario Fuentes | |
| Departamento de Algebra, Geometria y
Topología Universidad de Málaga Málaga Spain |
CIMI, Insitut de Mathématiques Université Paul Sabatier Toulouse France |
| Aniceto Murillo | |
| Departamento de Algebra, Geometria y
Topología Universidad de Málaga Málaga Spain |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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