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Secondary Steenrod algebra calculations

Authors: Dexter Chua;

Secondary Steenrod algebra calculations

Abstract

This repository contains data files generated by ext-rs pertaining to the secondary Steenrod algebra algorithm. This supersedes https://zenodo.org/record/4766457 but is not a strict superset of the data. This repository contains three files. d2-data.zip is a zip file containing the generated data, which are as follows: d2: The d₂ differentials. If the target bidegree is empty, the differentials are omitted. product_a: The secondary product of all elements with [a]. massey_a_b: The secondary Massey product <[a], [b], ->. The only exception is massey_P which contains the Adams periodicity operator <[h_3], [h_0^4], ->. filtration_one: A list of all filtration one products. charts.pdf: The Adams charts showing the d₂'s and the E₃ page, drawn by TikZ. clean_charts.pdf: The same charts but without showing h₂ products. differentials.gz: The differentials in our minimal resolution, in a human-readable plain text format. change_of_basis: The correspondence between our basis and Bruner's basis in arXiv:2109.13117. Each row expresses one of our basis element in terms of Bruner's basis. Unless otherwise suggested by the file extension, all files are plain text (utf-8) files. The script and the save file are known to be compatible with the version of the code in https://zenodo.org/record/5898397 script.sh is a script that generates the files above, except for change_of_basis and the charts. This is to be run in the `ext/` directory of sseq. If the execution of the script is interrupted halfway through, it is safe to simply run the script again with the safe parameters to resume computation; the vast majority of the computation would have been saved in the save directory and need not be recomputed (If a save file was corrupted due to the interruption, the program will panic instead of silently propagate errors). Similarly, the script can be run with a larger/different range and previous computations would be reused. S_2_milnor.tar is an archive containing the algorithm's save file for the above computation, up to (n, s) = (140, 72).

v2: Update for newer version of sseq

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selected citations
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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).
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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.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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