{"title":"孤立圆锥奇点的交K理论","authors":"A. Legrand, David Poutriquet","doi":"10.1017/IS011001026JKT140","DOIUrl":null,"url":null,"abstract":"Starting from the Karoubi multiplicative K -theory, we construct a Chern-Weil theory adapted to isolated conical singularities. The Chern character takes its values in the intersection cohomology of Goresky-MacPherson. We also propose an integer intersection K -theory for such singularities.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"9 1","pages":"177-200"},"PeriodicalIF":0.0000,"publicationDate":"2012-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS011001026JKT140","citationCount":"0","resultStr":"{\"title\":\"Intersection K -theory for isolated conical singularities\",\"authors\":\"A. Legrand, David Poutriquet\",\"doi\":\"10.1017/IS011001026JKT140\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Starting from the Karoubi multiplicative K -theory, we construct a Chern-Weil theory adapted to isolated conical singularities. The Chern character takes its values in the intersection cohomology of Goresky-MacPherson. We also propose an integer intersection K -theory for such singularities.\",\"PeriodicalId\":50167,\"journal\":{\"name\":\"Journal of K-Theory\",\"volume\":\"9 1\",\"pages\":\"177-200\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1017/IS011001026JKT140\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of K-Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/IS011001026JKT140\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS011001026JKT140","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Intersection K -theory for isolated conical singularities
Starting from the Karoubi multiplicative K -theory, we construct a Chern-Weil theory adapted to isolated conical singularities. The Chern character takes its values in the intersection cohomology of Goresky-MacPherson. We also propose an integer intersection K -theory for such singularities.
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