TOPICS
Search

Odd-Primary Kervaire Invariant Problem

The odd-primary Kervaire invariant problem asks which standard odd-primary Kervaire classes in the Adams spectral sequence survive to stable homotopy. At the prime three, the family used here is

b_j in E_2^(2,4·3^(j+1))

for nonnegative integers j. It is an odd-primary problem and is distinct from the classical prime-two Kervaire invariant one question.

See also

Adams Spectral Sequence, Stable Homotopy Group

Explore with Wolfram|Alpha

References

Ravenel, D. C. Complex Cobordism and Stable Homotopy Groups of Spheres, 2nd ed. Providence, RI: Amer. Math. Soc., 2003. https://www.sas.rochester.edu/mth/sites/doug-ravenel/mybooks/ravenel.pdf.

Cite this as:

Weisstein, Eric W. "Odd-Primary Kervaire Invariant Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Odd-PrimaryKervaireInvariantProblem.html

Subject classifications