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Cohomology classes associated to vector bundles. Includes Stiefel-Whitney classes, Chern classes, Pontryagin classes, and the Euler class.

5 votes

Analogy between Stiefel-Whitney and Chern classes

Let me try a high-brow answer using equivariant stable homotopy theory. By the stable Thom isomorphism, the integral (co)homology of $BU$ agrees with that of $MU$; likewise the $\mathbb{Z}/2$-(co)ho …
Lennart Meier's user avatar