Bibliography

1

M. G. Barratt, J. D. S. Jones, and M. E. Mahowald. The Kervaire invariant problem. In Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982), volume 19 of Contemp. Math., pages 9–22. Amer. Math. Soc., Providence, RI, 1983.

2

Mark Behrens. The Goodwillie tower and the EHP sequence. Mem. Amer. Math. Soc., 218(1026):xii+90, 2012.

3

Mark Behrens, Mark Mahowald, and J. D. Quigley. The 2-primary Hurewicz image of tmf. Geom. Topol., 27(7):2763–2831, 2023.

4

J. Michael Boardman. Conditionally convergent spectral sequences. Contemporary Mathematics, 239:49–84, 1999.

5

Robert R. Bruner and John Rognes. The Adams spectral sequence for topological modular forms, volume 253 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, [2021] ©2021.

6

Robert Burklund, Jeremy Hahn, and Andrew Senger. On the boundaries of highly connected, almost closed manifolds. Acta Math., 231(2):205–344, 2023.

7

Robert Burklund and Zhouli. Xu. The Adams differentials on the classes \(h_j^3\). Invent. Math. Volume 239, pages 1–77., 2025.

8

Dexter Chua. The \({E}_3\) page of the Adams spectral sequence. arXiv preprint, arXiv.2105.07628, 2021.

9

Mark Hovey, John H. Palmieri, and Neil P. Strickland. Axiomatic stable homotopy theory, volume 128 of Mem. Amer. Math. Soc. 1997.

10

Daniel C. Isaksen, Guozhen Wang, and Zhouli Xu. Stable homotopy groups of spheres: from dimension 0 to 90. Publ. Math. Inst. Hautes Études Sci., 137:107–243, 2023.

11

Weinan Lin. Interactive plot of the Adams spectral sequence. https://waynelin92.github.io/ss/kervaire-49.html Github Webpage 2024.

12

Weinan Lin, Guozhen Wang, and Zhouli Xu. Machine proofs for Adams differentials and extension problems among CW spectra. Zenodo. https://doi.org/10.5281/zenodo.14272279 December 2024.

13

Weinan Lin, Guozhen Wang, and Zhouli Xu. Machine proofs for Adams differentials and extension problems among CW spectra. Preprint, arXiv:2412.10876, 2024.

14

Weinan Lin, Guozhen Wang, and Zhouli Xu. On the Last Kervaire Invariant Problem. arXiv Preprint, arXiv:2412.10879, 2024.

15

Sihao Ma. A proof of the generalized geometric boundary theorem using filtered spectra. Topology Appl., 355:Paper No. 109006, 2024.

16

Mark Mahowald and Martin Tangora. Some differentials in the Adams spectral sequence. Topology, 6:349–369, 1967.

17

J. P. May. The additivity of traces in triangulated categories. Adv. Math., 163(1):34–73, 2001.

18

R. Michael F. Moss. Secondary compositions and the Adams spectral sequence. Math. Z., 115:283–310, 1970.

19

Zhouli Xu. The strong Kervaire invariant problem in dimension 62. Geom. Topol., 20(3):1611–1624, 2016.