Tanner N. Carawan, Rebecca Field, Bertrand J. Guillou, David Mehrle, Nathaniel J. Stapleton
{"title":"\\(KU_G\\) -局部等变球谱的同伦","authors":"Tanner N. Carawan, Rebecca Field, Bertrand J. Guillou, David Mehrle, Nathaniel J. Stapleton","doi":"10.1007/s40062-023-00336-z","DOIUrl":null,"url":null,"abstract":"<div><p>We compute the homotopy Mackey functors of the <span>\\(KU_G\\)</span>-local equivariant sphere spectrum when <i>G</i> is a finite <i>q</i>-group for an odd prime <i>q</i>, building on the degree zero case due to Bonventre and the third and fifth authors.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The homotopy of the \\\\(KU_G\\\\)-local equivariant sphere spectrum\",\"authors\":\"Tanner N. Carawan, Rebecca Field, Bertrand J. Guillou, David Mehrle, Nathaniel J. Stapleton\",\"doi\":\"10.1007/s40062-023-00336-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We compute the homotopy Mackey functors of the <span>\\\\(KU_G\\\\)</span>-local equivariant sphere spectrum when <i>G</i> is a finite <i>q</i>-group for an odd prime <i>q</i>, building on the degree zero case due to Bonventre and the third and fifth authors.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-11-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40062-023-00336-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-023-00336-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The homotopy of the \(KU_G\)-local equivariant sphere spectrum
We compute the homotopy Mackey functors of the \(KU_G\)-local equivariant sphere spectrum when G is a finite q-group for an odd prime q, building on the degree zero case due to Bonventre and the third and fifth authors.