<p>We give a complete description of the <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3702_Article_IEq6.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(E_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>-term of the <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3702_Article_IEq7.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(v_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>v</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>-local as well as <i>g</i>-local algebraic <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3702_Article_IEq8.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {tmf}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>tmf</mtext> </math></EquationSource> </InlineEquation> resolution.</p>

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The structure of the \(v_2\)-local algebraic \(\text {tmf}\) resolution

  • M. Behrens,
  • P. Bhattacharya,
  • D. Culver

摘要

We give a complete description of the \(E_1\) E 1 -term of the \(v_2\) v 2 -local as well as g-local algebraic \(\text {tmf}\) tmf resolution.