3 citations · 3 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Poincaré dualization and Massey products
Aleksandar Milivojevic, Jonas Stelzig, Leopold Zoller
We study the rational homotopy theoretic and geometric properties of a construction which extends any cohomologically connected, finite type cdga to one satisfying cohomological Po…
Bigraded notions of formality and Aeppli-Bott-Chern-Massey products
Aleksandar Milivojevic, Jonas Stelzig
We introduce and study notions of bigraded formality for the algebra of forms on a complex manifold, along with their relation to higher Aeppli-Bott-Chern-Massey products which ext…