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math.AT2005★ 16 cited
A modular description of the K(2)-local sphere at the prime 3
Mark Behrens
Using degree N isogenies of elliptic curves, we produce a spectrum Q(N). This spectrum is built out of spectra related to tmf. At p=3 we show that the K(2)-local sphere is built ou…
math.AT2005
Isogenies of elliptic curves and the Morava stabilizer group
Mark Behrens, Tyler Lawson
Let MS_2 be the p-primary second Morava stabilizer group, C a supersingular elliptic curve over \br{FF}_p, O the ring of endomorphisms of C, and \ell a topological generator of Z_p…