39 citations · 84 across the 12 of their papers we have counts for
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math.AT2012
The Brown-Comenetz dual of the K(2)-local sphere at the prime 3
Paul G. Goerss, Hans-Werner Henn
We calculate the homotopy type of the Brown-Comenetz dual of the K(2)-local sphere at the prime 3 and show that there is a twisting by a non-trivial element in the exotic…
math.AT2012★ 39 cited
On Hopkins' Picard groups for the prime 3 and chromatic level 2
Paul Goerss, Hans-Werner Henn, Mark Mahowald +1
We give a calculation of Picard groups of K(2)-local invertible spectra and of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calcula…
math.AT2012★ 12 cited
The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2
Paul G. Goerss, Hans-Werner Henn, Mark Mahowald
We calculate the rational homotopy and the K(1)-local homotopy of the K(2)-local sphere at the prime 3 and level 2. We use this to verify the chromatic splitting conjecture in this…