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<p>We study the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42543_2025_98_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {F}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">F</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-synthetic Adams spectral sequence. We obtain new computational information about <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42543_2025_98_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">C</mi> </math></EquationSource> </InlineEquation>-motivic and classical stable homotopy groups.</p>

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Classical Stable Homotopy Groups of Spheres via \(\mathbb {F}_2\)-Synthetic Methods

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年4月11日

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  • Robert Burklund,
  • Daniel C. Isaksen,
  • Zhouli Xu

摘要

We study the \(\mathbb {F}_2\) F 2 -synthetic Adams spectral sequence. We obtain new computational information about \(\mathbb {C}\) C -motivic and classical stable homotopy groups.