Stable homotopy groups of spheres: From dimension 0 to 90

Abstract

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 $B{P}_{\ast }$, we compute the classical and motivic stable homotopy groups of spheres from dimension 0 to 90, except for some carefully enumerated uncertainties.

Updated some computations