Cohomology rings of oriented Grassmann manifolds

被引：0

作者：

Colovic, Uros A. ^{[1
]}

Jovanovic, Milica ^{[1
]}

Prvulovic, Branislav I. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski Trg 16, Belgrade, Serbia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2025年 / 367卷

关键词：

Grassmann manifolds; Gr & ouml; bner bases; Stiefel-Whitney classes; CHARACTERISTIC RANK;

D O I：

10.1016/j.topol.2025.109318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a description of the mod 2 cohomology algebra of the oriented Grassmann manifold G2t,4 as the quotient of a polynomial algebra by a certain ideal. In the process we find a Gr & ouml;bner basis for that ideal, which we then use to exhibit an additive basis for H*( G2t,4; Z2). (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：17

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