3 citations · 3 across the 1 of their papers we have counts for
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Formality criteria in terms of higher Whitehead brackets
Urtzi Buijs, José M. Moreno-Fernández
We provide two criteria for discarding the formality of a differential graded Lie algebra in terms of higher Whitehead brackets, which are the Lie analogue of the Massey products o…
Rational maps from Euclidean Configuration Spaces to Spheres
Urtzi Buijs, Antonio Garvin, Aniceto Murillo
In this note we give an algorithm to determine the rational homotopy type of the free and pointed mapping spaces and .…
Symmetric Lie models of a triangle
Urtzi Buijs, Yves Félix, Aniceto Murillo +1
R. Lawrence and D. Sullivan have constructed a Lie model for an interval from the geometrical idea of flat connections and flows of gauge transformations. Their model supports an a…
structures and Massey products
José M. Moreno-Fernández
We study the relationship between the higher Massey products on the cohomology of a differential graded algebra, and the structures induced on via homotopy trans…
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…