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11
votes
1
answer
430
views
Steenrod powers of the Thom class
René Thom in 1952 proved the formula
$$
Sq^i(U_2)=\Phi_2(w_i),
$$
which in modern parlance says that the Steenrod squares of the mod $2$ Thom class of an orthogonal bundle are the images under the mod …
6
votes
0
answers
223
views
Borel equivariant cohomology operations
Fix a group $G$. For an abelian coefficient group $A$ let $H^*_G(-;A):=H^*(EG\times_G-;A)$ be the Borel cohomology with $A$ coefficents. This is a functor from $G$-spaces to graded abelian groups whic …