Gorenstein duality for real spectra

J. P.C. Greenlees; Lennart Meier

doi:10.2140/agt.2017.17.3547

Gorenstein duality for real spectra

J. P.C. Greenlees, Lennart Meier

University of Sheffield

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	3547-3619
Number of pages	73
Journal	Algebraic and Geometric Topology
Volume	17
Issue number	6
DOIs	https://doi.org/10.2140/agt.2017.17.3547
Publication status	Published - 4 Oct 2017

Keywords

Anderson duality
Gorenstein duality
Real bordism
Real Brown-Peterson spectra
Real Johnson-Wilson theories
Real K-theory

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GorensteinAccepted author manuscript, 805 KB

https://arxiv.org/pdf/1607.02332.pdf

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Gorenstein duality for real spectra

Abstract

Keywords

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