Thom多项式和$J$-图像的前导项

Q2 Mathematics Journal of Mathematics of Kyoto University Pub Date : 2012-01-01 DOI:10.1215/21562261-1550994

Y. Ando

{"title":"Thom多项式和$J$-图像的前导项","authors":"Y. Ando","doi":"10.1215/21562261-1550994","DOIUrl":null,"url":null,"abstract":"We give two types of singularities of maps between 4 q -manifolds whose Thom polynomials with integer coeﬃcients have nonvanishing coeﬃcient of Pontrjagin class P q . We show that an element of the J -image of dimension 4 q − 1 has a fold map between S 4 q − 1 and can be detected by the leading terms of Thom polynomials of those singularities of an extended map between D 4 q of the fold map.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"52 1","pages":"345-367"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/21562261-1550994","citationCount":"0","resultStr":"{\"title\":\"Leading terms of Thom polynomials and $J$- images\",\"authors\":\"Y. Ando\",\"doi\":\"10.1215/21562261-1550994\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give two types of singularities of maps between 4 q -manifolds whose Thom polynomials with integer coeﬃcients have nonvanishing coeﬃcient of Pontrjagin class P q . We show that an element of the J -image of dimension 4 q − 1 has a fold map between S 4 q − 1 and can be detected by the leading terms of Thom polynomials of those singularities of an extended map between D 4 q of the fold map.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":\"52 1\",\"pages\":\"345-367\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1215/21562261-1550994\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/21562261-1550994\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/21562261-1550994","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

我们给出了4个q流形间映射的两类奇点，这些流形的整数系数的Thom多项式具有Pontrjagin类pq的非消失系数。我们证明了4q−1维的J -像的一个元素在s4q−1之间有一个折叠映射，并且可以通过折叠映射的d4q之间的扩展映射的奇异点的Thom多项式的前导项来检测。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Leading terms of Thom polynomials and $J$- images

We give two types of singularities of maps between 4 q -manifolds whose Thom polynomials with integer coeﬃcients have nonvanishing coeﬃcient of Pontrjagin class P q . We show that an element of the J -image of dimension 4 q − 1 has a fold map between S 4 q − 1 and can be detected by the leading terms of Thom polynomials of those singularities of an extended map between D 4 q of the fold map.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematics of Kyoto University 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.