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arXiv · 2206.11391

Gorenstein Duality and Universal Coefficient Theorems

Donald M. Davis·J. P. C. Greenlees
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Abstract

The paper describes a duality phenomenon for cohomology theories with the character of Gorenstein rings. For a connective cohomology theory with the p-local integers in degree 0, and coefficient ring R_* Gorenstein of shift 0, this states that for X with R_*(X) torsion, we have R^*(X)=Σ^a Hom( R_*(X), Z/p^{\infty}). A corresponding statement for modules over a commutative Gorenstein ring spectrum is also proved. [Minor typographical and bibliographic changes to the last version.]

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Donald M. Davis, J. P. C. Greenlees. 2022-10-03. Gorenstein Duality and Universal Coefficient Theorems. https://arxiv.org/abs/2206.11391

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