| dc.contributor.author | Heard, Drew Kenneth | |
| dc.contributor.author | Barthel, Tobias | |
| dc.contributor.author | Castellana, Natalia | |
| dc.contributor.author | Valenzuela, Gabriel | |
| dc.date.accessioned | 2020-10-21T11:42:27Z | |
| dc.date.available | 2020-10-21T11:42:27Z | |
| dc.date.created | 2020-10-08T10:12:02Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.uri | https://hdl.handle.net/11250/2684179 | |
| dc.description.abstract | We investigate when a commutative ring spectrum R satisfies a homotopical version of local Gorenstein duality, extending the notion previously studied by Greenlees. In order to do this, we prove an ascent theorem for local Gorenstein duality along morphisms of k-algebras. Our main examples are of the form R = C∗(X; k), the ring spectrum of cochains on a space X for a field k. In particular, we establish local Gorenstein duality in characteristic p for p-compact groups and p-local finite groups as well as for k = Q and X a simply connected space which is Gorenstein in the sense of Dwyer, Greenlees, and Iyengar | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.title | Local Gorenstein duality for cochains on spaces | en_US |
| dc.type | Peer reviewed | en_US |
| dc.type | Journal article | en_US |
| dc.description.version | publishedVersion | en_US |
| dc.source.volume | 225 | en_US |
| dc.source.journal | Journal of Pure and Applied Algebra | en_US |
| dc.source.issue | 2 | en_US |
| dc.identifier.doi | https://doi.org/10.1016/j.jpaa.2020.106495 | |
| dc.identifier.cristin | 1838127 | |
| dc.description.localcode | © 2020 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | en_US |
| cristin.ispublished | true | |
| cristin.fulltext | postprint | |
| cristin.fulltext | original | |
| cristin.qualitycode | 1 | |
