arXiv Open Access 2009

Gross-Hopkins duality and the Gorenstein condition

W. G. Dwyer J. P. C. Greenlees S. B. Iyengar

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Abstrak

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.

Topik & Kata Kunci

math.AT math.AC

Penulis (3)

W. G. Dwyer

J. P. C. Greenlees

S. B. Iyengar

Format Sitasi

APA MLA BibTeX

Dwyer, W.G., Greenlees, J.P.C., Iyengar, S.B. (2009). Gross-Hopkins duality and the Gorenstein condition. https://arxiv.org/abs/0905.4777

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓