Cohomology rings of oriented Grassmann manifolds $\widetilde G_{2^t,4}$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929538564358144 |
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| author | Colović, Uroš A. Jovanović, Milica Prvulović, Branislav I. |
| author_facet | Colović, Uroš A. Jovanović, Milica Prvulović, Branislav I. |
| contents | 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 Gröbner basis for that ideal, which we then use to exhibit an additive basis for $H^*(\widetilde G_{2^t,4};\mathbb Z_2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09323 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology rings of oriented Grassmann manifolds $\widetilde G_{2^t,4}$ Colović, Uroš A. Jovanović, Milica Prvulović, Branislav I. Algebraic Topology 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 Gröbner basis for that ideal, which we then use to exhibit an additive basis for $H^*(\widetilde G_{2^t,4};\mathbb Z_2)$. |
| title | Cohomology rings of oriented Grassmann manifolds $\widetilde G_{2^t,4}$ |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2410.09323 |