EULER CLASSES OF VECTOR BUNDLES OVER ITERATED SUSPENSIONS OF REAL PROJECTIVE SPACES

被引：1

作者：

Naolekar, Aniruddha C. ^{[1
]}

Thakur, Ajay Singh ^{[2
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, 8th Mile,Mysore Rd, Bangalore 560059, Karnataka, India

[2] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 03期

关键词：

Euler class; Stiefel-Whitney class; W-triviality;

D O I：

10.1515/ms-2017-0134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that when k not equal 2,4,8, the Euler class of any vector bundle over Sigma(RPm)-R-k is zero if the rank of the bundle is not m + k, provided that m 3 when k = 6. If k = 2,4,8, we show that the Euler class of any vector bundle over Sigma(RPm)-R-k is zero whenever the rank of the bundle is not kr +k, provided that m not equal 6,7 when k = 2, where r is the largest integer such that kr <= m. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：677 / 684

页数：8

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