Steenrod squares

[′sten‚räd ′skwerz]

(mathematics)

Operations which associate elements from different cohomology groups of a topological space and produce an element in another of the groups; these operations can be so added and multiplied as to produce the Steenrod algebra.

References in periodicals archive

Singer, "On the action of Steenrod squares on polynomial algebras," Proceedings of the American Mathematical Society, vol.

Wood, "Steenrod squares of polynomials and the Peterson conjecture," Mathematical Proceedings of the Cambridge Philosophical Society, vol.

Dimension result for the polynomial algebra [F.sub.2][[x.sub.1], ..., [x.sub.n]] as a module over the Steenrod algebra

Among the topics discussed by the research articles are symplectic Heegaard splittings and linked abelian groups, differential characters and the Steenrod squares, relative weight filtrations on completions of mapping class groups, symplectic automorphism groups of nilpotent quotient of fundamental groups of surfaces, and new examples of elements in the kernel of the Magnus representation of the Torelli groups.

Groups of diffeomorphisms in honor of Shigeyuki Morita on the occasion of his 60th birthday; proceedings

If v denotes the total Wu class, w the total Stiefel-Whitney class of the tangent bundle, and Sq the total Steenrod square, then it is known that Sq(v) = w.

Conjugation spaces and equivariant Chern classes

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