Milica Jovanovi'c

activity

20232026

collaborators

4 papers

math.AT2026

Heights of Stiefel--Whitney classes and zero-divisor cup-length of some Grassmann manifolds

Milica Jovanović, Vuk Ovaskainen, Branislav I. Prvulović +1

We calculate the heights of Stiefel--Whitney classes of the canonical vector bundle over the oriented Grassmannians $G_{n, 4} ≅ S O (n) / (S O (4) \times S O (n - 4))$ in the cas…

math.AT2024

Cohomology rings of oriented Grassmann manifolds $G_{2^{t}, 4}$

Uroš A. Colović, Milica Jovanović, Branislav I. Prvulović

We give a description of the mod 2 cohomology algebra of the oriented Grassmann manifold $G_{2^{t}, 4}$ as the quotient of a polynomial algebra by a certain ideal. In the p…

math.AT2024

Steenrod operations on polyhedral products

Sanjana Agarwal, Jelena Grbić, Michele Intermont +3

We describe the action of the mod $2$ Steenrod algebra on the cohomology of various polyhedral products and related spaces. We carry this out for Davis-Januszkiewicz spaces and the…

math.AT2023

On the mod 2 cohomology algebra of oriented Grassmannians

Milica Jovanović, Branislav I. Prvulović

For $n \in {2^{t} - 3, 2^{t} - 2, 2^{t} - 1}$ ( $t \geq 3$ ) we study the cohomology algebra $H^{*} (G_{n, 3}; Z_{2})$ of the Grassmann manifold $G_{n, 3}$ of oriented $3$ -dimen…

Heights of Stiefel--Whitney classes and zero-divisor cup-length of some Grassmann manifolds

Cohomology rings of oriented Grassmann manifolds G2t,4​

Steenrod operations on polyhedral products

On the mod 2 cohomology algebra of oriented Grassmannians

Cohomology rings of oriented Grassmann manifolds $G_{2^{t}, 4}$