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arXiv · 1607.02332

Gorenstein duality for Real spectra

J. P. C. Greenlees·Lennart Meier
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Abstract

Following Hu and Kriz, we study the $C_2$-spectra $BP\mathbb{R}\langle n \rangle$ and $E\mathbb{R}(n)$ 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 $n=1$ and $2$.

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J. P. C. Greenlees, Lennart Meier. 2016-07-08. Gorenstein duality for Real spectra. https://doi.org/10.2140/agt.2017.17.3547

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