17 citations · 60 across the 15 of their papers we have counts for
21 papers
Explicit Quillen models for Cartesian products of -cones
Urtzi Buijs, José Carrasquel, Lucile Vandembroucq
We give an explicit minimal Quillen model for the Cartesian product of rational -cones in terms of derivations and a binary operation $\star \colon \mathbb{M}(V)\oti…
Sectional category à la Quillen
Urtzi Buijs, José Carrasquel
In this note we give a characterization of the sectional category of a map between rational spaces in terms of its Koszul-Quillen model.
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…
A-infinity structures and Massey products
Urtzi Buijs, José Manuel Moreno-Fernández, Aniceto Murillo
We show how and when it is possible to detect and recover higher Massey products on the cohomology of a differential graded algebra with higher multiplications on quasi-iso…