17 citations · 81 across the 27 of their papers we have counts for
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rational homotopy of mapping spaces
Urtzi Buijs, Yves Félix, Aniceto Murillo
In this paper we describe explicit algebras modeling the rational homotopy type of any component of the spaces $\map(X,Y)$ and $\map^*(X,Y)$ of free and pointed maps bet…
The Lawrence-Sullivan construction is the right model of
Urtzi Buijs, Aniceto Murillo
We prove that the universal enveloping algebra of the Lawrence-Sullivan construction is a particular perturbation of the complete Baues-Lemaire cylinder of . Together with oth…
The Hilali Conjecture for hyperelliptic spaces
Javier Fernandez de Bobadilla, Javier Fresan, Vicente Muñoz +1
The Hilali Conjecture predicts that for a simply-connected elliptic space, the total dimension of the rational homotopy does not exceed that of the rational homology. Here we give…
Algebraic models of non-connected spaces and homotopy theory of algebras
Urtzi Buijs, Aniceto Murillo
We develop a homotopy theory of algebras based on the Lawrence-Sullivan construction, a complete differential graded Lie algebra which, as we show, satisfies the necessa…