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.
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页数：17
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