Geodesic
Gorenstein duality for real spectra
Greenlees, J P C1 ; Meier, Lennart2
1 School of Mathematics and Statistics, University of Sheffield, Sheffield, United Kingdom
2 Mathematics Institute, University of Bonn, Bonn, Germany
Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3547-3619

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3547
Classification : 55P91, 55U30, 55P43, 55Q91
Keywords: Anderson duality, Gorenstein duality, real K-theory, real bordism, real Brown-Peterson spectra, real Johnson-Wilson theories

Greenlees, J P C 1 ; Meier, Lennart 2

1 School of Mathematics and Statistics, University of Sheffield, Sheffield, United Kingdom
2 Mathematics Institute, University of Bonn, Bonn, Germany 
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Greenlees, J P C; Meier, Lennart. Gorenstein duality for real spectra. Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3547-3619. doi: 10.2140/agt.2017.17.3547

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