and
nonabelian homological algebra
The Adams-Novikov spectral sequence is a class of spectral sequences which converge to and hence are used to compute homotopy groups of connective spectra, hence in particular the stable homotopy groups of spheres. It refines the Adams spectral sequence by replacing ordinary cohomology with coefficients in $\mathbb{Z}/p\mathbb{Z}$ bycomplex cobordism cohomology theory.
More generally for $E$ any suitable E-infinity ring there is an Adams-Novikov-type spectral sequence involving $E$-generalized cohomology/generalized homology. This fully general notion is often again just referred to as the $E$-Adams spectral sequence. Accordingly, see there for more.
The $p$-component of the $E^2$-term of the Adams-Novikov spectral sequence for the sphere spectrum, hence the one converging to the stable homotopy groups of spheres $\pi_\ast(\mathbb{S})$ is
where $BP$ denotes the Brown-Peterson spectrum at prime $p$.
recalled e.g. as Ravenel, theorem 1.4.2
The original articles are
John Adams, On the structure and applications of the Steenrod algebra, Comm. Math. Helv. 32 (1958), 180–214.
Sergei Novikov, The methods of algebraic topology from the viewpoint of cobordism theories, Izv. Akad. Nauk. SSSR. Ser. Mat. 31 (1967), 855–951 (Russian).
Reviews include for instance
Doug Ravenel, Complex cobordism and stable homotopy groups of spheres, chapter IV $B P$-Theory and the Adams-Novikov Spectral Sequence (pdf)
Jacob Lurie, Localizations and the Adams-Novikov Spectral Sequence (pdf)