{"title":"Thom polynomials. A primer","authors":"Richard Rimanyi","doi":"arxiv-2407.13883","DOIUrl":null,"url":null,"abstract":"The Thom polynomial of a singularity $\\eta$ expresses the cohomology class of\nthe $\\eta$-singularity locus of a map in terms of the map's simple invariants.\nIn this informal survey -- based on two lectures given at the Isaac Newton\nInstitute in 2024 -- we explore various Thom polynomial concepts with examples.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.13883","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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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