On the mod 2 cohomology algebra of oriented Grassmannians
type: Item
instance of: scholarly article
title: On the mod 2 cohomology algebra of oriented Grassmannians
author: Milica Jovanović
author: Branislav Prvulović
published in: Journal of Homotopy and Related Structures
publication date: 2024-09-27T00:00:00Z
review text: Grassmannians are classical objects of interest in mathematics. However, very little is known about the cohomology ring (even with \(\mathbb{Z}_2\) coefficients) of oriented Grassmannians except for \(\widetilde{G}_{n,1}\) and \(\widetilde{G}_{n,2}\). Building on works (and related computations) by several predecessors, in this manuscript the authors give a complete description (Theorem 1.1) of the cohomology ring \(H^*(\widetilde{G}_{n,3};\mathbb{Z}_2)\) when \(n\in\{2t-1,2t-2, 2t-3\}\) and \(t\geq 3\).
reviewed by: Somnath Basu
Mathematics Subject Classification ID: 55R40
Mathematics Subject Classification ID: 13P10
zbMATH DE Number: 7919891
zbMATH Keywords: Grassmann manifolds
zbMATH Keywords: Stiefel-Whitney classes
zbMATH Keywords: Gröbner bases
MaRDI profile type: Publication
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cites work: Characteristic Classes. (AM-76)
DOI: 10.1007/S40062-024-00350-9
description: scientific article; zbMATH DE number 7919891