{"title":"代数、拓扑学和动力学中的签名","authors":"É. Ghys, A. Ranicki","doi":"10.21711/217504322016/em302","DOIUrl":null,"url":null,"abstract":"We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1, including an Appendix by the second named author \"Algebraic L-theory of rings with involution and the localization exact sequence\".","PeriodicalId":359243,"journal":{"name":"Ensaios Matemáticos","volume":"171 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Signatures in algebra, topology and dynamics\",\"authors\":\"É. Ghys, A. Ranicki\",\"doi\":\"10.21711/217504322016/em302\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1, including an Appendix by the second named author \\\"Algebraic L-theory of rings with involution and the localization exact sequence\\\".\",\"PeriodicalId\":359243,\"journal\":{\"name\":\"Ensaios Matemáticos\",\"volume\":\"171 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ensaios Matemáticos\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21711/217504322016/em302\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ensaios Matemáticos","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21711/217504322016/em302","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1, including an Appendix by the second named author "Algebraic L-theory of rings with involution and the localization exact sequence".
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