GROBNER BASES IN THE MOD 2 COHOMOLOGY OF ORIENTED GRASSMANN MANIFOLDS (G)over-tilde2t,3

被引：3

作者：

Colovic, Uros A. ^{[1
]}

Prvulovic, Branislav I. ^{[1
]}

机构：

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

来源：

MATHEMATICA SLOVACA | 2024年 / 74卷 / 01期

关键词：

Grassmann manifolds; Grobner bases; Steenrod squares;

D O I：

10.1515/ms-2024-0015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For n a power of two, we give a complete description of the cohomology algebra H*((G) over tilde (n,3); Z(2)) of the Grassmann manifold (G) over tilde (n,3) of oriented 3-planes in R-n. We do this by finding a reduced Grobner basis for an ideal closely related to this cohomology algebra. Using this Grobner basis we also present an additive basis for H*((G) over tilde (n,3); Z(2)). (c) 2024 Mathematical Institute Slovak Academy of Sciences

引用

页码：195 / 208

页数：14

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