10 citations · 17 across the 6 of their papers we have counts for
6 papers
Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
Joana Cirici, Bashar Saleh
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions…
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality
Bashar Saleh
Given a simply connected space , there are several, a priori different, algebraic groups whose groups of -points are isomorphic to the group of homotopy classes of ho…
Representation stability for homotopy automorphisms
Erik Lindell, Bashar Saleh
We consider in parallel pointed homotopy automorphisms of iterated wedge sums of topological spaces and boundary relative homotopy automorphisms of iterated connected sums of manif…
On the group of homotopy classes of relative homotopy automorphisms
Hadrien Espic, Bashar Saleh
We prove that the group of homotopy classes of relative homotopy automorphisms of a simply connected finite CW-complex is finitely presented and that the rationalization map from t…
A dg Lie model for relative homotopy automorphisms
Alexander Berglund, Bashar Saleh
We construct a dg Lie model for the universal cover of the classifying space of the grouplike monoid of homotopy automorphisms of a space that fix a given subspace.
Non-commutative formality implies commutative and Lie formality
Bashar Saleh
Over a field of characteristic zero we prove two formality conditions. We prove that a dg Lie algebra is formal if and only if its universal enveloping algebra is formal. We also p…