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arXiv · 2412.10876

Machine Proofs for Adams Differentials and Extension Problems among CW Spectra

Weinan Lin·Guozhen Wang·Zhouli Xu
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Abstract

In this document, we describe the process of obtaining numerous Adams differentials and extensions using computational methods, as well as how to interpret the dataset uploaded to Zenodo. Detailed proofs of the machine-generated results are also provided. The dataset includes information on 49 CW spectra, 180 maps, and 61 cofiber sequences. Leveraging these results, and with the addition of some ad hoc arguments derived through human insight, we successfully resolved the Last Kervaire Invariant Problem in dimension 126.

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BibTeXRIS

Weinan Lin, Guozhen Wang, Zhouli Xu. 2024-12-14. Machine Proofs for Adams Differentials and Extension Problems among CW Spectra. https://arxiv.org/abs/2412.10876

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