Timeline for Did the Goerss-Hopkins manuscript "Multiplicative stable homotopy theory" ever appear?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 15, 2018 at 17:26 | comment | added | Charles Rezk | @DavidWhite I'm pretty sure I didn't see a draft then: I would have referenced that (and possibly did) as "[1] Mike Hopkins, personal communication". | |
| Sep 14, 2018 at 14:06 | comment | added | David White | @CharlesRezk Thanks. Yes, I wondered if it turned into something else, but the fact that it has been cited recently suggests it didn't turn into the "Moduli spaces" (or "Moduli problems") paper. Actually, if anyone is likely to have seen a draft, it's you, since the HHR paper remarks how the notion of "flat map" was first introduced in the unpublished manuscript and soon after you dualized it to "sharp map." | |
| Sep 14, 2018 at 13:58 | comment | added | Charles Rezk | As a general note: you probably shouldn't always take titles of unpublished manuscripts very seriously. Especially for documents which are far away from publication, such titles are likely to evolve over time, and can sometimes seem to exist in an uncertain quantum state, taking a different form every time it is observed. | |
| Sep 14, 2018 at 10:34 | comment | added | Tyler Lawson | I suspect strongly that it was not released publicly; I've never seen it and it's in my wheelhouse. Since it dates back to a period when EKMM and Hovey-Shipley-Smith were just coming out, and since some of the references indicate it specifically for definitions of spectra, I might hazard a guess that some of the material was foundational in nature and became unneeded. I would almost certainly guess that many of these ideas appear in "Moduli spaces of commutative ring spectra" and the unpublished-but-available "Moduli problems for structured ring spectra". | |
| Sep 14, 2018 at 2:00 | comment | added | skd | That's true, yeah. | |
| Sep 14, 2018 at 1:53 | comment | added | David White | Thanks, but I don't think that's it. The only one on Goerss's webpage that seems to match the papers listed above is the Moduli spaces one. But, if that one had already subsumed the "multiplicative stable homotopy theory" one then I feel like Hopkins wouldn't still be citing the latter in 2005 and 2016 | |
| Sep 14, 2018 at 1:45 | comment | added | skd | At the bottom of Goerss' webpage are links to a bunch of manuscripts under the header "The Multiplicative Ring Spectra Project, with Mike Hopkins". I think these are supposed to (mostly) comprise the "Multiplicative stable homotopy theory" manuscript, but I'm not Goerss or Hopkins, so I can't say for sure. | |
| Sep 14, 2018 at 1:02 | history | asked | David White | CC BY-SA 4.0 |