Monomial Bases for 𝐻*(𝐂𝐏^{∞}×𝐂𝐏^{∞}) over 𝒜(𝓅)

Crossley, M.

doi:10.1090/S0002-9947-99-02060-7

Monomial Bases for $H^*(\mathbf {C}P^\infty \times \mathbf {C}P^\infty )$ over $\mathcal A(p)$
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by M. D. Crossley PDF

Trans. Amer. Math. Soc. 351 (1999), 171-192 Request permission

Abstract:

We consider the polynomial algebra $H^*(\mathbf {C} P^\infty \times \mathbf {C} P^\infty ; \mathbf {F}_p)$ as a module over the mod $p$ Steenrod algebra, $\mathcal {A}(p)$, $p$ being an odd prime. We give a minimal set of generators consisting of monomials and characterise all such ‘monomial bases’.

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