## Algebraic & Geometric Topology

### Gorenstein duality for real spectra

#### Abstract

Following Hu and Kriz, we study the $C2$–spectra $BPℝ〈n〉$ 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 $2$.

#### Article information

Source
Algebr. Geom. Topol., Volume 17, Number 6 (2017), 3547-3619.

Dates
Received: 13 July 2016
Revised: 17 January 2017
Accepted: 1 February 2017
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1510841515

Digital Object Identifier
doi:10.2140/agt.2017.17.3547

Mathematical Reviews number (MathSciNet)
MR3709655

Zentralblatt MATH identifier
06791657

#### Citation

Greenlees, J P C; Meier, Lennart. Gorenstein duality for real spectra. Algebr. Geom. Topol. 17 (2017), no. 6, 3547--3619. doi:10.2140/agt.2017.17.3547. https://projecteuclid.org/euclid.agt/1510841515

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#### Corrections

• J P C Greenlees, Lennart Meier. Correction to the article Gorenstein duality for real spectra. Algebr. Geom. Topol., Volume 18, Number 5 (2018), 3129-3131.