低维FKMM-不变量
The FKMM-invariant in low dimension
摘要：
本文研究了低维四元数向量丛的上同调分类问题（$d\leqslant 3$）。我们证明了存在一个特征类$κ$，称为FKMM-不变量，它取相对等变Borel上同调的值，并完全分类了低维的“四元数”向量丛.本文主要讨论了$κ$的满射性。
英文摘要：
In this paper we investigate the problem of the cohomological classification of "Quaternionic" vector bundles in low-dimension ($d\leqslant 3$). We show that there exists a characteristic classes $κ$, called the FKMM-invariant, which takes value in the relative equivariant Borel cohomology and completely classifies "Quaternionic" vector bundles in low-dimension. The main subject of the paper concerns a discussion about the surjectivity of $κ$.
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