Endomorphisms of the cohomology of complex Grassmannians

Hoffman, Michael

doi:10.1090/S0002-9947-1984-0722772-4

Endomorphisms of the cohomology of complex Grassmannians
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Trans. Amer. Math. Soc. 281 (1984), 745-760 Request permission

Abstract:

For any complex Grassmann manifold $G$, we classify all endomorphisms of the rational cohomology ring of $G$ which are nonzero on dimension $2$. Some applications of this result are given.

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