实代数变量上向量束的特征类

Mathematics of The Ussr-izvestiya Pub Date : 1992-02-28 DOI:10.1070/IM1992V039N01ABEH002223

V. A. Krasnov

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引用次数: 49

摘要

对于实代数变簇上的向量束，研究了特征类之间的联系，证明了在-变簇上相等意味着同余。我们还找到了反命题成立的充分条件;这就需要构建新的特征类。并将所得结果应用于拓扑结构的研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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CHARACTERISTIC CLASSES OF VECTOR BUNDLES ON A REAL ALGEBRAIC VARIETY

For a vector bundle on a real algebraic variety , the author studies the connections between the characteristic classes It is proved that for -varieties the equality implies the congruence . Sufficient conditions are found also for the converse to hold; this requires the construction of new characteristic classes . The results are applied to study the topology of .

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Mathematics of The Ussr-izvestiya

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