Local Gorenstein duality in chromatic group cohomology

Pol, Luca and Williamson, Jordan (2023) Local Gorenstein duality in chromatic group cohomology. JOURNAL OF PURE AND APPLIED ALGEBRA, 227 (11): 107422. ISSN 0022-4049, 1873-1376

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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.(c) 2023 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: TOPOLOGICAL MODULAR-FORMS; COMMUTATIVE ALGEBRA; CLASSIFYING-SPACES; THEOREM; DESCENT; RINGS
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Niko Naumann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 30 Jan 2024 07:55
Last Modified: 30 Jan 2024 07:55
URI: https://pred.uni-regensburg.de/id/eprint/60071

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