论文标题

向量束理论与非线性光谱理论之间的桥梁

A bridge between Vector Bundle Theory and Nonlinear Spectral Theory

论文作者

López-Gómez, Julián, Sampedro, Juan Carlos

论文摘要

本文在广义代数多重性,代数品种的交集指数与矢量捆绑包的可方向性概念之间建立了一些隐藏的联系。它采用的新颖方法促进了通过某些路径整合技术与第一个Stiefel-Whitney基本阶级密切相关的几个不变的定义。

This paper establishes some hidden connections between the theory of generalized algebraic multiplicities, the intersection index of algebraic varieties, 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 fundamental class through some path integration techniques.

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