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math.AT2022
All known realizations of complete Lie algebras coincide
Yves Félix, Mario Fuentes, Aniceto Murillo
We prove that for any reduced differential graded Lie algebra L, the classical Quillen geometrical realization is homotopy equivalent to the realization $\lang…
math.AT2022
Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types
Yves Félix, Mario Fuentes, Aniceto Murillo
We construct Lie algebras of derivations (and identify their geometrical realization) whose Maurer-Cartan sets provide moduli spaces describing the classes of homotopy types of rat…