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

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Showing 2023 · math.ATShow all

3 papers · 2 filters

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…

Gröbner bases in the mod 2 cohomology of oriented Grassmann manifolds G2t,3​

On the mod 2 cohomology algebra of oriented Grassmannians

Cup-length of oriented Grassmann manifolds via Gröbner bases

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