托姆多项式入门指南

arXiv - MATH - Algebraic Topology Pub Date : 2024-07-18 DOI:arxiv-2407.13883

Richard Rimanyi

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引用次数: 0

摘要

奇点$\eta$的托姆多项式（Thom polynomial of a singularity $\eta$）用映射的简单不变式表达了映射的奇点位置的同调类。在这个非正式的调查中--基于2024年在艾萨克-牛顿研究所（Isaac NewtonInstitute）的两次讲座--我们用实例探讨了各种托姆多项式的概念。

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Thom polynomials. A primer

The Thom polynomial of a singularity $\eta$ expresses the cohomology class of the $\eta$-singularity locus of a map in terms of the map's simple invariants. In this informal survey -- based on two lectures given at the Isaac Newton Institute in 2024 -- we explore various Thom polynomial concepts with examples.

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arXiv - MATH - Algebraic Topology

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