Author:
Isaksen Daniel C.,Wang Guozhen,Xu Zhouli
Abstract
AbstractUsing techniques in motivic homotopy theory, especially the theorem of Gheorghe, the second and the third author on the isomorphism between motivic Adams spectral sequence for $C\tau $
C
τ
and the algebraic Novikov spectral sequence for $BP_{*}$
B
P
∗
, we compute the classical and motivic stable homotopy groups of spheres from dimension 0 to 90, except for some carefully enumerated uncertainties.
Publisher
Springer Science and Business Media LLC
Reference62 articles.
1. J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. Math. (2), 72 (1960), 20–104, MR0141119 (25 #4530).
2. M. G. Barratt, J. D. S. Jones and M. E. Mahowald, Relations amongst Toda brackets and the Kervaire invariant in dimension 62, J. Lond. Math. Soc. (2), 30 (1984), 533–550, https://doi.org/10.1112/jlms/s2-30.3.533, MR810962 (87g:55025).
3. M. G. Barratt, M. E. Mahowald and M. C. Tangora, Some differentials in the Adams spectral sequence. II, Topology, 9 (1970), 309–316, MR0266215 (42 #1122).
4. J. Beauvais-Feisthauer, Automated differential computation in the Adams spectral sequence, preprint, available at arXiv:2210.15169.
5. A. Beaudry, M. Behrens, P. Bhattacharya, D. Culver and Z. Xu, The telescope conjecture at height 2 and the tmf resolution, J. Topol., 14 (2021), 1243–1320, https://doi.org/10.1112/topo.12208, MR4332490.
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