Branislav I. Prvulovi'c

activity

20132026

most citedOn the mod 2 cohomology algebra of oriented Grassmannians

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 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★ 1 cited

Topological complexity of oriented Grassmann manifolds

Uroš A. Colović, Branislav I. Prvulović, Marko Radovanović

We study the $Z_{2}$ -zero-divisor cup-length, denoted by $zcl_{Z_{2}} (G_{n, 3})$ , of the Grassmann manifolds $G_{n, 3}$ of oriented $…

math.AT2023★ 1 cited

Gröbner bases in the mod $2$ cohomology of oriented Grassmann manifolds $G_{2^{t}, 3}$

Uroš A. Colović, Branislav I. Prvulović

For $n$ a power of two, we give a complete description of the cohomology algebra $H^{*} (G_{n, 3}; Z_{2})$ of the Grassmann manifold $G_{n, 3}$ of oriented $3…

math.AT2023★ 2 cited

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…

math.AT2023

Cup-length of oriented Grassmann manifolds via Gröbner bases

Uroš A. Colović, Branislav I. Prvulović

The aim of this paper is to prove a conjecture made by T. Fukaya in 2008. This conjecture concerns the exact value of the $Z_{2}$ -cup-length of the Grassmann manifold $\widet…

math.AT2013

Gröbner bases for (all) Grassmann manifolds

Zoran Z. Petrović, Branislav I. Prvulović, Marko Radovanović

Grassmann manifolds $G_{k, n}$ are among the central objects in geometry and topology. The Borel picture of the mod 2 cohomology of $G_{k, n}$ is given as a polynomial algebra modulo…