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20002026
most citedHomotopy theory of complete Lie algebras and Lie models of simplicial sets

17 citations · 81 across the 27 of their papers we have counts for

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2 papers · 1 filter

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…