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30
votes
Techniques for computing cup products in singular cohomology
This is going to be a perhaps tendentious diatribe. But it is what is.
Naturality, dimensional arguments, and Poincare duality give a
reservoir of elementary examples such as spheres and projective …
9
votes
Why are cup-i products and Steenrod Squares often (always?) unary?
Under suitable hypotheses, Gugenheim and I use the binary $\cup_1$ and especially the fact that it is a graded derivation (Hirsch formula) as the key to giving a calculation of $H^*(G/H)$ as the torsi …