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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 …
Peter May's user avatar
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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 …
Peter May's user avatar
  • 30.4k