17 citations · 60 across the 15 of their papers we have counts for
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Weight decompositions of Thom spaces of vector bundles in rational homotopy theory
Urtzi Buijs, Federico Cantero Morán, Joana Cirici
Motivated by the theory of representability classes by submanifolds, we study the rational homotopy theory of Thom spaces of vector bundles. We first give a Thom isomorphism at the…
Maurer-Cartan elements in the Lie models of finite simplicial complexes
Urtzi Buijs, Yves Félix, Aniceto Murillo +1
In a previous work, we have associated a complete differential graded Lie algebra to any finite simplicial complex in a functorial way. Similarly, we have also a realization functo…
Higher order Whitehead products and structures on the homology of a DGL
Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández +1
We detect higher order Whitehead products on the homology of a differential graded Lie algebra in terms of higher brackets in the transferred structure on vi…
Homotopy theory of complete Lie algebras and Lie models of simplicial sets
Urtzi Buijs, Yves Félix, Aniceto Murillo +1
In a previous work, by extending the classical Quillen construction to the non-simply connected case, we have built a pair of adjoint functors, 'model' and 'realization', between t…