This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, \(\chi \), and the notion of orientability of vector bundles. The novel approach adopted in it facilitates the definition of several invariants closely related to the first Stiefel–Whitney characteristic class through some path integration techniques.

中文翻译：

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通过代数多重性的可定向性

本文在广义代数重数理论\(\chi \)和向量丛的可定向性概念之间建立了一些隐藏的联系。其中采用的新颖方法通过一些路径集成技术促进了与第一 Stiefel-Whitney 特征类密切相关的几个不变量的定义。