通过$\mathbb{F}_2$合成方法研究球面的经典稳定同调群

Robert Burklund, Daniel C. Isaksen, Zhouli Xu
{"title":"通过$\\mathbb{F}_2$合成方法研究球面的经典稳定同调群","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":"{\"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}","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

摘要

我们研究了 $\mathbb{F}_2$ 合成亚当斯谱序列。我们获得了关于$\mathbb{C}$动机群和经典稳定同调群的新计算信息。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
Classical stable homotopy groups of spheres via $\mathbb{F}_2$-synthetic methods
We study the $\mathbb{F}_2$-synthetic Adams spectral sequence. We obtain new computational information about $\mathbb{C}$-motivic and classical stable homotopy groups.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Tensor triangular geometry of modules over the mod 2 Steenrod algebra Ring operads and symmetric bimonoidal categories Inferring hyperuniformity from local structures via persistent homology Computing the homology of universal covers via effective homology and discrete vector fields Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8)
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1