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How to make Schubert calculus into a Hopf (actually a PCH) algbera?

If you're talking about Grassmannians, then you can use the direct sum maps $Grass(k,n) \times Grass(k',n') \to Grass(k+k', n+n')$ to get the comultiplication. This induces a map on cohomology the o …
Steven Sam's user avatar
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What functor does a Schubert variety represent?

Everything you said should be fine. As for the case of not necessarily reduced schemes, we have to be careful, but I think the following will work. Say E is our given vector bundle of rank n which i …
Steven Sam's user avatar
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