{"title":"幂运算保留扭转等变实K理论中的Thom类","authors":"Daniel Berwick-Evans, Meng Guo","doi":"arxiv-2407.13031","DOIUrl":null,"url":null,"abstract":"We construct power operations for twisted KR-theory of topological stacks.\nStandard algebraic properties of Clifford algebras imply that these power\noperations preserve universal Thom classes. As a consequence, we show that the\ntwisted Atiyah-Bott-Shapiro orientation commutes with power operations.","PeriodicalId":501143,"journal":{"name":"arXiv - MATH - K-Theory and Homology","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Power operations preserve Thom classes in twisted equivariant Real K-theory\",\"authors\":\"Daniel Berwick-Evans, Meng Guo\",\"doi\":\"arxiv-2407.13031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct power operations for twisted KR-theory of topological stacks.\\nStandard algebraic properties of Clifford algebras imply that these power\\noperations preserve universal Thom classes. As a consequence, we show that the\\ntwisted Atiyah-Bott-Shapiro orientation commutes with power operations.\",\"PeriodicalId\":501143,\"journal\":{\"name\":\"arXiv - MATH - K-Theory and Homology\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - K-Theory and Homology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.13031\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - K-Theory and Homology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.13031","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Power operations preserve Thom classes in twisted equivariant Real K-theory
We construct power operations for twisted KR-theory of topological stacks.
Standard algebraic properties of Clifford algebras imply that these power
operations preserve universal Thom classes. As a consequence, we show that the
twisted Atiyah-Bott-Shapiro orientation commutes with power operations.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
