{"title":"A Guide for Computing Stable Homotopy Groups","authors":"A. Beaudry, Jonathan A. Campbell","doi":"10.1090/CONM/718/14476","DOIUrl":null,"url":null,"abstract":"This paper contains an overview of background from stable homotopy theory used by Freed-Hopkins in their work on invertible extended topological field theories. We provide a working guide to the stable homotopy category, to the Steenrod algebra and to computations using the Adams spectral sequence. Many examples are worked out in detail to illustrate the techniques.","PeriodicalId":8433,"journal":{"name":"arXiv: Algebraic Topology","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2018-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"39","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/718/14476","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 39
Abstract
This paper contains an overview of background from stable homotopy theory used by Freed-Hopkins in their work on invertible extended topological field theories. We provide a working guide to the stable homotopy category, to the Steenrod algebra and to computations using the Adams spectral sequence. Many examples are worked out in detail to illustrate the techniques.
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