{"title":"CHARACTERISTIC CLASSES OF VECTOR BUNDLES ON A REAL ALGEBRAIC VARIETY","authors":"V. A. Krasnov","doi":"10.1070/IM1992V039N01ABEH002223","DOIUrl":null,"url":null,"abstract":"For a vector bundle on a real algebraic variety , the author studies the connections between the characteristic classes It is proved that for -varieties the equality implies the congruence . Sufficient conditions are found also for the converse to hold; this requires the construction of new characteristic classes . The results are applied to study the topology of .","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"49","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1992V039N01ABEH002223","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 49
Abstract
For a vector bundle on a real algebraic variety , the author studies the connections between the characteristic classes It is proved that for -varieties the equality implies the congruence . Sufficient conditions are found also for the converse to hold; this requires the construction of new characteristic classes . The results are applied to study the topology of .
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