Timeline for A generalization of integral Poincaré duality

8 events

when toggle format	what		by	license	comment
Jun 15, 2020 at 7:27	history	edited	CommunityBot		Commonmark migration
Jun 1, 2020 at 15:19	vote	accept	Matt
Jun 1, 2020 at 2:30	answer	added	John Klein		timeline score: 3
May 30, 2020 at 10:07	history	edited	Matt	CC BY-SA 4.0	Edit for alternative acceptable answer
May 30, 2020 at 6:46	comment	added	Drew Heard		I'm not aware of anything else, but that could be more to do with my own ignorance! Looking into the references of D-G-I might help you find other sources (e.g., link.springer.com/article/10.1007/BF02776063)
May 29, 2020 at 17:22	comment	added	Matt		Thank you for your comment. Are you aware of whether there is a definition of being Gorenstein over $\mathbb{Z}$ without using spectra, or are you saying that there is no such definition available, and the work of Dywer, Greenless, Iyengar addresses this deficiency?
May 29, 2020 at 17:03	comment	added	Drew Heard		A lot of work has been done (starting with Dwyer, Greenlees, and Iyengar) and furthered by Greenlees on when a morphism $f \colon R \to k$ of ring spectra is `Gorenstein', see arxiv.org/abs/math/0510247 for example. Taking $R=C^*(X;\mathbb{Q})$ and $f \colon R \to \mathbb{Q}$ the natural map gives you the above definition. Replacing $\mathbb{Q}$ with $\mathbb{Z}$ gives you a reasonable definition. (The theory tends to work best when $k$ is a field however).
May 29, 2020 at 12:33	history	asked	Matt	CC BY-SA 4.0