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arXiv · 2410.09323

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

Uroš A. Colović·Milica Jovanović·Branislav I. Prvulović
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Abstract

We give a description of the mod 2 cohomology algebra of the oriented Grassmann manifold $\widetilde G_{2^t,4}$ as the quotient of a polynomial algebra by a certain ideal. In the process we find a Gr\"obner basis for that ideal, which we then use to exhibit an additive basis for $H^*(\widetilde G_{2^t,4};\mathbb Z_2)$.

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Uroš A. Colović, Milica Jovanović, Branislav I. Prvulović. 2024-10-12. Cohomology rings of oriented Grassmann manifolds $\widetilde G_{2^t,4}$. https://arxiv.org/abs/2410.09323

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