Timeline for Is there any use for n-dimensional formal group laws in chromatic homotopy?
Current License: CC BY-SA 4.0
4 events
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| Jun 24, 2022 at 15:41 | comment | added | Eric Peterson | No substantial answer, but two thoughts: (1) You might browse Stapleton and coauthors’ papers on field theories to see some adjacent concerns and a rather different approach to a resolution; (2) The connection between 1-dimensional formal groups and “classical” cohomology theories, whatever one takes “classical” to mean, is so strong that it’s hard to believe there’s room left over for any alternative connection that enjoys a similarly strong coupling. | |
| Jun 22, 2022 at 8:21 | comment | added | Doron Grossman-Naples | @kiran I'm looking for the first of those, but I would expect such a theory to be connected to traditional chromatic homotopy. | |
| Jun 22, 2022 at 5:25 | comment | added | kiran | From the body of the question it seems like you might be interested in running a version of chromatic homotopy theory with n-dim FGLS, and it seems like the first step there would be to find a replacement for CP^infty, namely a (commutative?)-group-up-to-homotopy G such that H^*(G) is Z[x1,...,xn]...but from the title it seems like you're interested in whether n-dim FGLs play any role in the usual, 1-dim FGL-based chromatic story? | |
| Jun 21, 2022 at 23:30 | history | asked | Doron Grossman-Naples | CC BY-SA 4.0 |