Geodesic
Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types
Félix, Yves1 ; Fuentes, Mario2 ; Murillo, Aniceto3
1 Département de Mathématiques, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
2 Departamento de Algebra, Geometria y Topología, Universidad de Málaga, Málaga, Spain, CIMI, Insitut de Mathématiques, Université Paul Sabatier, Toulouse, France
3 Departamento de Algebra, Geometria y Topología, Universidad de Málaga, Málaga, Spain
Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 2285-2305

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2024.24.2285
Keywords: rational homotopy, deformation of Lie algebras

Félix, Yves 1 ; Fuentes, Mario 2 ; Murillo, Aniceto 3

1 Département de Mathématiques, Université Catholique de Louvain, Louvain-la-Neuve, Belgium
2 Departamento de Algebra, Geometria y Topología, Universidad de Málaga, Málaga, Spain, CIMI, Insitut de Mathématiques, Université Paul Sabatier, Toulouse, France
3 Departamento de Algebra, Geometria y Topología, Universidad de Málaga, Málaga, Spain 
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     title = {Realization of {Lie} algebras of derivations and moduli spaces of some rational homotopy types},
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Félix, Yves; Fuentes, Mario; Murillo, Aniceto. Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types. Algebraic and Geometric Topology, Tome 24 (2024) no. 4, pp. 2285-2305. doi: 10.2140/agt.2024.24.2285

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