On the classification of complex vector bundles of stable rank

被引：2
|
作者：
Banica, Constantin [1 ]
Putinar, Mihai [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2006年 / 116卷 / 03期
基金：
美国国家科学基金会;
关键词：
chem class; K-theory; Atiyah-Singer index theorem; Atiyah-Hirzebruch spectral sequence; flag manifold;
D O I：
10.1007/BF02829745
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
One describes, using a detailed analysis of Atiyah-Hirzebruch spectral sequence, the tuples of cohomology classes on a compact, complex manifold, corresponding to the Chem classes of a complex vector bundle of stable rank. This classification becomes more effective on generalized flag manifolds, where the Lie algebra formalism and concrete integrability conditions describe in constructive terms the Chem classes of a vector bundle.
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页码：271 / 291
页数：21
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