Multiplication in the cohomology of Grassmannians via Grobner bases

被引：6

作者：

Petrovic, Zoran Z. ^{[1
]}

Prvulovic, Branislav I. ^{[1
]}

Radovanovic, Marko ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade, Serbia

来源：

JOURNAL OF ALGEBRA | 2015年 / 438卷

关键词：

Cohomology of Grassmannians; Grobner bases; Kostka numbers; Chem classes; Stiefel - Whitney classes; Schubert classes; Pieri's formula; Immersions; MANIFOLDS; IMMERSION;

D O I：

10.1016/j.jalgebra.2015.04.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In order to gain better understanding of the multiplication in the integral cohomology of the complex Grossmann manifold G(k,n) (C) (in the Borel picture) a minimal strong Grobner basis for the ideal I-k,I-n determining this cohomology is obtained. These results are applied to obtain recurrence relations among Kostka numbers which completely determine these numbers. Corresponding results for real Grossmann manifolds are also presented. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：60 / 84

页数：25

共 15 条

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