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arXiv · 2106.08669

Local Gorenstein duality in chromatic group cohomology

Luca Pol·Jordan Williamson
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Abstract

We consider local Gorenstein duality for cochain spectra $C^*(BG;R)$ on the classifying spaces of compact Lie groups $G$ over complex orientable ring spectra $R$. We show that it holds systematically for a large array of examples of ring spectra $R$, including Lubin-Tate theories, topological $K$-theory, and various forms of topological modular forms. We also prove a descent result for local Gorenstein duality which allows us to access further examples.

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Luca Pol, Jordan Williamson. 2021-06-16. Local Gorenstein duality in chromatic group cohomology. https://doi.org/10.1016/j.jpaa.2023.107422

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