Chern classes and generators

被引：1
|
作者：
Kameko, Masaki [1 ]
机构：
[1] Shibaura Inst Technol, Dept Math Sci, Minuma Ku, Saitama 3378570, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2012年 / 88卷 / 01期
基金：
日本学术振兴会;
关键词：
Classifying space; exceptional Lie group; characteristic class; COHOMOLOGY;
D O I：
10.3792/pjaa.88.21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a simple proof for the fact that certain algebra generators of the mod 2 cohomology of classifying spaces of exceptional Lie groups are given by Chern classes and Stiefel-Whitney classes of certain representations.
引用
收藏
页码：21 / 23
页数：3
相关论文
共 50 条
  • [21] CHERN CLASSES AND EXTRASPECIAL GROUPS
    GREEN, DJ
    LEARY, IJ
    MANUSCRIPTA MATHEMATICA, 1995, 88 (01) : 73 - 84
  • [22] Chern classes of birational varieties
    Aluffi, P
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (63) : 3367 - 3377
  • [23] CHERN CLASSES IN CRYSTALLINE COHOMOLOGY
    BERTHELOT, P
    ILLUSIE, L
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 270 (25): : 1695 - +
  • [24] Chern classes of Heegner divisors
    不详
    BORCHERDS PRODUCTS ON O(2,L) AND CHERN CLASSES OF HEEGNER DIVISORS, 2002, 1780 : 119 - 140
  • [25] Foliations with vanishing Chern classes
    Pereira, Jorge Vitorio
    Touzet, Frederic
    BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2013, 44 (04): : 731 - 754
  • [26] Chern classes of conformal blocks
    Fakhruddin, Najmuddin
    COMPACT MODULI SPACES AND VECTOR BUNDLES, 2012, 564 : 145 - 176
  • [27] Chern classes of analytical sets
    Cavalier, V
    Lehmann, D
    Soares, MG
    K-THEORY, 2005, 34 (01): : 35 - 69
  • [28] Chern classes and Thom polynomials
    Ohmoto, Toru
    Singularities in Geometry and Topology, 2005, 2007, : 464 - 482
  • [29] Chern classes for analytic sets
    Cavalier, V
    Lehmann, D
    Soares, M
    COMPTES RENDUS MATHEMATIQUE, 2004, 338 (11) : 879 - 884
  • [30] Chern classes of uniregulated varieties
    Druel, Stephane
    MATHEMATISCHE ANNALEN, 2006, 335 (04) : 917 - 935
12345