Following Hu and Kriz, we study the –spectra and that refine the usual truncated Brown–Peterson and the Johnson–Wilson spectra. In particular, we show that they satisfy Gorenstein duality with a representation grading shift and identify their Anderson duals. We also compute the associated local cohomology spectral sequence in the cases and .
"Gorenstein duality for real spectra." Algebr. Geom. Topol. 17 (6) 3547 - 3619, 2017. https://doi.org/10.2140/agt.2017.17.3547