Gorenstein Duality and Universal Coefficient Theorems
Algebraic Topology
2022-10-04 v2 Commutative Algebra
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)=\Sigma^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.]
Cite
@article{arxiv.2206.11391,
title = {Gorenstein Duality and Universal Coefficient Theorems},
author = {Donald M. Davis and J. P. C. Greenlees},
journal= {arXiv preprint arXiv:2206.11391},
year = {2022}
}