Fat bundles and formality
We prove the formality property of total spaces of fat bundles over compact homogeneous spaces. Some rational homotopy obstructions to fatness are obtained.
Filtered model of a fibration and rational obstruction theory.
Finiteness properties of self-equivalence.
Five-dimensional biquotients.
Formalité des espaces de lacets libres
Formality and the Lefschetz property in symplectic and cosymplectic geometry
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).
Formality of the function space of free maps into an elliptic space
Free actions on products of spheres: The rational case.