Drew Heard
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 Jan 11 comment What is, really, the stable homotopy category? For the last question, see mathoverflow.net/questions/67227/… Nov 20 comment Suspension of the third Hopf map 2-locally I think you can see this using the EHP sequence, as in mathoverflow.net/questions/50452/… Nov 15 answered The cooperations algebras Johnson-Wilson theory and truncated BP-theory Nov 3 comment Computing Homotopy Fixed Point Spectral Sequences related to Morava E thories @MingcongZeng: This is Morava's change of rings theorem. Map $S$ to $L_{K(n)}S^0$, and look at the induced map. in $\mathrm{Ext}_{BP_*}$, and then use the change of rings theorem. Nov 3 answered Computing Homotopy Fixed Point Spectral Sequences related to Morava E thories Sep 17 awarded Enlightened Sep 16 awarded Nice Answer Sep 14 comment stable homotopy groups and zeta function @KonradVoelkel - I've added what I believe to be the connection, hopefully it is correct! Sep 14 revised stable homotopy groups and zeta function added 423 characters in body Sep 13 revised stable homotopy groups and zeta function added 19 characters in body Sep 13 answered stable homotopy groups and zeta function Sep 13 comment stable homotopy groups and zeta function Perhaps this is what you mean. Take $E = K(1)$, the first Morava $K$-theory. You can find the homotopy groups $\pi_*L_{K(1)}S^0$, at least when $p$ is odd, in, for example, Lurie's course notes (math.harvard.edu/~lurie/252xnotes/Lecture35.pdf). The order of the cyclic summand that appears can be expressed as the denominator of a certain expression involving Bernoulli numbers. This is related to the image of $J$, see en.wikipedia.org/wiki/J-homomorphism Jul 28 awarded Yearling Jun 24 comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$ I've kept it open in the hope that someone comes along and tells me that the sketch I outlined in the question is correct! I'm still working through the answer you gave; it has quite a few references to sort through. There is a topological nature to the question, which unfortunately I cannot adequately describe in the comments. Jun 20 comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$ Thanks for the answer! Jun 17 comment Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$ @FernandoMuro: Yes, the sequence $x_0,\ldots,x_{n-1}$ is assumed to be regular Jun 17 asked Definitions of the module $R/(x_0^\infty,x_1^\infty,\ldots,x_{n-1}^\infty)$ Jun 4 awarded Enlightened Jun 4 awarded Nice Answer May 28 awarded Good Answer