Stable homotopy groups of spheres: From dimension 0 to 90
Using 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 $C{\tau}$ and the algebraic Novikov spectral sequence for $BP_*$, we compute the classical and motivic stable homotopy groups of spheres from dimension 0 to 90, except for some carefully enumerated uncertainties.
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Algebraic Topology
14F42, 55Q45, 55S10, 55T15 (Primary), 16T05, 55P42, 55Q10, 55S30
(Secondary)
