Gross-Hopkins duality and the Gorenstein condition

Autor:	Dwyer, W. G., Greenlees, J. P. C., Iyengar, S. B.
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Topology Mathematics - Commutative Algebra 55P60 55M05 (primary) 55P42 55P43 57N65 57P10 (secondary)
Druh dokumentu:	Working Paper
Popis:	Gross and Hopkins have proved that in chromatic stable homotopy, Spanier-Whitehead duality nearly coincides with Brown-Comenetz duality. Our goal is to give a conceptual interpretation for this phenomenon in terms of the Gorenstein condition for maps of ring spectra in the sense of [Duality in algebra and topology, Adv. Math. 200 (2006), 357--402. arXiv: math.AT/0510247 ]. We describe a general notion of Brown-Comenetz dualizing module for a map of ring spectra and show that in this context such dualizing modules correspond bijectively to invertible K(n)-local spectra. Comment: 27 pages. Introduction has been revised significantly; minor revisions elsewhere. To appear in the Journal of K-Theory
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0905.4777 Zobrazit plný text záznamu View this record from Arxiv