Duality in BP (co)homology

Donald M. Davis

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arXiv · 2205.06137

Duality in BP (co)homology

Donald M. Davis

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Abstract

Let E=BP denote the Johnson-Wilson spectrum, localized at p. It is proved that if E_*(X) is locally finite, then there is an isomorphism of right E_*-modules E^*(X) = (E_*(Sigma^{D+n+1}X))^V, where D=Sum |v_i| and M^V=Hom(M,Q/Z) is the Pontryagin dual. This result was motivated by work of the author and W.S.Wilson regarding the 2-local ku-homology and -cohomology of the Eilenberg-MacLane space K(Z/2,2).

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Donald M. Davis. 2022-05-12. Duality in BP (co)homology. https://arxiv.org/abs/2205.06137

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