• Classification of fiber sequences with a prescribed holonomy action 

      Fuentes Rumí, Mario (Elsevier, 2022-08-01)
      We define H-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup H of E(F ), where E(F ) is the homotopy automorphism group of the fiber. ...
    • Contact structures on null hypersurfaces 

      Atindogbé, Cyriaque; Gutierrez-Lopez, Manuel; Hounnonkpe, Raymond; Olea, Benjamín (Elsevier, 2022-08)
      The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction ...
    • Lie models of homotopy automorphism monoids and classifying fibrations 

      Félix, Yves; Fuentes Rumí, Mario; Murillo-Mas, Aniceto (Elsevier, 2022-06-25)
      Given X a finite nilpotent simplicial set, consider the classifying fibrations X → B aut∗ G(X) → B autG(X) and X → Z → B aut∗ π (X) where G and π denote, respectively, subgroups of the free and pointed homotopy classes ...
    • The Milnor-Moore theorem for L∞ algebras in rational homotopy theory 

      Moreno Fernández, José Manuel (Springer, 2021-09-20)
      We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore ...