44 citations · 157 across the 12 of their papers we have counts for
14 papers
The Exotic -Local Picard Group at the Prime
Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3
We calculate the group of exotic elements in the -local Picard group at the prime and find it is a group of order isomorphic to $(\mathbb{Z}/8)^2 \times (\mat…
Cohomology of the Morava stabilizer group through the duality resolution at
Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3
We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava -theory, , at , for , using the Algebr…
Comparing Dualities in the -local Category
Paul G. Goerss, Michael J. Hopkins
In their work on the period map and the dualizing sheaf for Lubin-Tate space, Gross and the second author wrote down an equivalence between the Spanier-Whitehead and Brown-Comenetz…
Constructing the determinant sphere using a Tate twist
Tobias Barthel, Agnès Beaudry, Paul G. Goerss +1
Following an idea of Hopkins, we construct a model of the determinant sphere in the category of -local spectra. To do this, we build a spectrum which w…
Chromatic splitting for the -local sphere at
Agnes Beaudry, Paul G. Goerss, Hans-Werner Henn
We calculate the homotopy type of and at the prime 2, where is localization with respect to Morava -theory and localizati…
Topological resolutions in K(2)-local homotopy theory at the prime 2
Irina Bobkova, Paul G. Goerss
We provide a topological duality resolution for the spectrum , which itself can be used to build the -local sphere. The resolution is built from spectr…