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ZENODO
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License: CC BY
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Cohomology of the Mod 2 Steenrod algebra

Authors: Lin, Weinan;

Cohomology of the Mod 2 Steenrod algebra

Abstract

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 link. We also provide the Steenrod resolution data in the same range. 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. 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. New version notes: The pdf is better formatted than the previous version. The resolution data is added. The author is supported by China Postdoctoral Science Foundation 2021TQ0015 and the Fundamental Research Funds for the Central Universities, Peking University.

Related Organizations
Keywords

stable homotopy group, Adams spectral sequence, stable homotopy theory, Steenrod algebra, Gröbner basis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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