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引用次数: 0
摘要
本章的重点是光谱序列。光谱序列是光纤束理论中一种强大的计算工具。它首先由Jean Leray在20世纪40年代引入，由Jean- louis Koszul, Henri Cartan, Jean- pierre Serre和许多其他人进一步完善。本章提供了一个简短的介绍，没有证明，光谱序列。作为一个例子，它计算了复射影平面的上同调。这一章详述了勒雷定理。谱序列就像一本有很多页的书。每翻一页，就会得到与前一页相同的新一页。
This chapter focuses on spectral sequences. The spectral sequence is a powerful computational tool in the theory of fiber bundles. First introduced by Jean Leray in the 1940s, it was further refined by Jean-Louis Koszul, Henri Cartan, Jean-Pierre Serre, and many others. The chapter provides a short introduction, without proofs, to spectral sequences. As an example, it computes the cohomology of the complex projective plane. The chapter then details Leray's theorem. A spectral sequence is like a book with many pages. Each time one turns a page, one obtains a new page that is the cohomology of the previous page.
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