ar X iv : 0 90 5 . 47 77 v 1 [ m at h . A T ] 2 9 M ay 2 00 9 GROSS - HOPKINS DUALITY AND THE GORENSTEIN CONDITION
نویسنده
چکیده
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 [5] 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.
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