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+++ title = “References” section = “root” +++

References

Textbooks

  • J.F. Adams, Stable Homotopy and Generalised Homology, Chicago Lectures in Mathematics, University of Chicago Press, 1974.

  • J.P. May, A General Algebraic Approach to Steenrod Operations, Lecture Notes in Mathematics 168, Springer, 1970.

  • D.C. Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres, 2nd edition, AMS Chelsea Publishing, 2003. Available online: https://people.math.rochester.edu/faculty/doug/mu.html

Papers

  • E. Belmont and H. Kong, An algebraic approach to the Adams spectral sequence. (E_r Massey products, Moss’ theorem: Definition 2.4, Definition 3.11, Theorem 3.13.)

  • D. Chua, The $E_3$ page of the Adams spectral sequence, 2021. https://arxiv.org/abs/2105.07628 (Lemma 12.4: $\tau$-torsion survival and target forcing.)

  • B. Gheorghe, G. Wang, and Z. Xu, The special fiber of the motivic deformation of the stable homotopy category is algebraic, Acta Math. 226 (2021), no. 2, 319–407. ($C\tau$ collapse theorem; $\operatorname{Ext}(C\tau) \cong$ Adams–Novikov $E_2$.)

  • D.C. Isaksen, Stable stems, Mem. Amer. Math. Soc. 262 (2019), no. 1269. (Motivic Adams computations, CSV data for $E_2$ through $E_\infty$.)

  • D.C. Isaksen, G. Wang, and Z. Xu, Stable homotopy groups of spheres, Proc. Natl. Acad. Sci. 117 (2020), no. 40, 24757–24763. (Motivic approach to classical computations.)

  • W. Lin, G. Wang, and Z. Xu, On the Last Kervaire Invariant Problem, 2024. https://arxiv.org/abs/2412.10879 (Machine-proved Adams differentials and CW-spectrum data.)

  • B. Johnson, Quantitative Bounds for Nilpotence and Vanishing Lines. (Lemma 6.3: vanishing line propagation through cofiber sequences.)

  • D. Dugger and D.C. Isaksen, Motivic cell structures, Algebr. Geom. Topol. 5 (2005), 615–652.

Software

  • H. Chatham, D. Chua, and J. Beauvais-Feisthauer, ext-rs — Rust library for computing Ext over the Steenrod algebra. htpy’s resolution engine, linear algebra, and Steenrod algebra crates descend from ext-rs. License: MIT OR Apache-2.0.

  • W. Lin, SSeqCpp — C++ spectral sequence computation library using Groebner bases and SQLite databases. htpy-groebner is ported from SSeqCpp’s Buchberger algorithm implementation. License: Apache-2.0.

Data

  • J. Beauvais-Feisthauer, H. Chatham, and D. Chua, The $E_2$ page of the 2-primary Adams spectral sequence in a large range, Zenodo, 2022. https://zenodo.org/records/7339848 License: CC BY 4.0. Used for verification benchmarks.

  • W. Lin, G. Wang, and Z. Xu, Machine Proofs for Adams Differentials and Extension Problems among CW Spectra, Zenodo, 2024. https://zenodo.org/records/14475507