In mathematics, the chromatic spectral sequence is a
spectral sequence, introduced by , used for calculating the initial term of the
Adams spectral sequence In mathematics, the Adams spectral sequence is a spectral sequence introduced by which computes the stable homotopy groups of topological spaces. Like all spectral sequences, it is a computational tool; it relates homology theory to what is now c ...
for
Brown–Peterson cohomology In mathematics, Brown–Peterson cohomology is a generalized cohomology theory introduced by
, depending on a choice of prime ''p''. It is described in detail by .
Its representing spectrum is denoted by BP.
Complex cobordism and Quillen's idempo ...
, which is in turn used for calculating the
stable homotopy groups of spheres.
See also
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Chromatic homotopy theory In mathematics, chromatic homotopy theory is a subfield of stable homotopy theory that studies complex-oriented cohomology theories from the "chromatic" point of view, which is based on Quillen's work relating cohomology theories to formal groups. ...
*
Adams-Novikov spectral sequence In mathematics, the Adams spectral sequence is a spectral sequence introduced by which computes the stable homotopy groups of topological spaces. Like all spectral sequences, it is a computational tool; it relates homology theory to what is no ...
*
p-local spectrum
References
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Spectral sequences
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