{"title":"Classical stable homotopy groups of spheres via $\\mathbb{F}_2$-synthetic methods","authors":"Robert Burklund, Daniel C. Isaksen, Zhouli Xu","doi":"arxiv-2408.00987","DOIUrl":null,"url":null,"abstract":"We study the $\\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new\ncomputational information about $\\mathbb{C}$-motivic and classical stable\nhomotopy groups.","PeriodicalId":501119,"journal":{"name":"arXiv - MATH - Algebraic Topology","volume":"41 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Algebraic Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.00987","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the $\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new
computational information about $\mathbb{C}$-motivic and classical stable
homotopy groups.