Cohomology of the Mod 2 Steenrod algebra
<p>New version notes: The t column in the resolution csv table is corrected. It was identical to the id column.</p> <p>In this repo you will find the tables of the cohomology of the Mod 2 Steenrod algebra up to total degree of 261 in many formats, including pdf, csv files, and an interactive plot of the E2 page of the Adams spectral sequence on <a href="https://waynelin92.github.io/ss/index.html">link</a>. We also provide the Steenrod resolution data in the same range.</p> <p>In AdamsE2 csv files, "1,2,3,4;7,8" stands for $x_1^2x_3^4+x_7^8$ where $x_i$ is the i'th generator in the generator csv table with i as id. In the generator csv table, the res_id column corresponds to the id column of the representing elements in the resolution table.</p> <p>In the resolution csv table, each row "s,t,index,diff" means that in degree (s,t), d(v_{index})=diff. In the diff column, "1,2:3+4:5" stands for $P(1,2)v_3+P(4)v_5$ where $v_i$ is the generator of the free module in Adams filtration s-1 with index i.On the interactive plot, you can scroll the mouse wheel and drag to navigate. You can double click the dots to see the details about the elements.</p> <p>The author is supported by China Postdoctoral Science Foundation 2021TQ0015 and the Fundamental Research Funds for the Central Universities, Peking University.</p>
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