Adams spectral sequence of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mrow><mi mathvariant="normal">t</mi><mi mathvariant="normal">m</mi><mi mathvariant="normal">f</mi></mrow><mo>∧</mo><msup><mrow><mi mathvariant="double-struck">R</mi><mi mathvariant="double-struck">P</mi></mrow><mi mathvariant="normal">∞</mi></msup></mrow><annotation encoding="application/x-tex">{\mathrm{tmf}}\wedge {\mathbb {RP}}^\infty </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.69444em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord mathrm" style="margin-right:0.07778em;">tmf</span></span></span><span class="mspace" style="margin-right:0.2222222222222222em;"></span><span class="mbin">∧</span><span class="mspace" style="margin-right:0.2222222222222222em;"></span></span><span class="base"><span class="strut" style="height:0.743182em;vertical-align:0em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord mathbb">RP</span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.743182em;"><span style="top:-3.1417900000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">∞</span></span></span></span></span></span></span></span></span></span></span>: Conventions

Adams spectral sequence of

{\mathrm{tmf}}\wedge {\mathbb {RP}}^\infty

Conventions

Conventions

We set $k = \mathbb {F}_2$ , and write $x_{t - s, s}$ for a generator in the corresponding bidegree.