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started an entry cubic curve,
For the moment I wanted to record (see the entry) a pointer to Akhil Mathew’s identification of that eight-fold cover of (hence of ) which is analogous to the 2-fold cover of the “moduli stack of formal tori” that ends up being the reason for the -action on .
So here is the question that I am after: that cover is classified by a map , hence we get a double cover of the moduli space of elliptic curves .
Accordingly there is a spectrum equipped with a -action whose homotopy fixed points is , I suppose: . (Hm, maybe I need to worry about the compactification…).
I’d like to say that is to as is to . This is either subject to some confusion (wich one?) or else is an old hat. In the second case: what would be a reference?
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