3 papers
math.DG2024
Universal covers of non-negatively curved manifolds and formality
Aleksandar Milivojevic
We show that if the universal cover of a closed smooth manifold admitting a metric with non-negative Ricci curvature is formal, then the manifold itself is formal. We reprove a res…
math.AT2023
Formality is preserved under domination
Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller
If a closed orientable manifold (resp. rational Poincaré duality space) receives a map from a formal manifold (resp. space) that hits a fundamental class, then $X…
math.AT2023
On the behavior of Massey products under field extension
Aleksandar Milivojevic
We show that global vanishing of Massey products on a commutative differential graded algebra is not invariant under field extension. Non-vanishing triple Massey products remain no…