Gorenstein duality for real spectra
Publication date
2017-10-04
Authors
Greenlees, J. P.C.
Meier, Lennart
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Document Type
Article
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Abstract
Following Hu and Kriz, we study the C2-spectra BPℝ⟨n⟩hni and Eℝ(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.
Keywords
Anderson duality, Gorenstein duality, Real bordism, Real Brown-Peterson spectra, Real Johnson-Wilson theories, Real K-theory, Geometry and Topology
Citation
Greenlees, J P C & Meier, L 2017, 'Gorenstein duality for real spectra', Algebraic and Geometric Topology, vol. 17, no. 6, pp. 3547-3619. https://doi.org/10.2140/agt.2017.17.3547