The units of a ring spectrum and a logarithmic cohomology operation

dc.creatorRezk, Charles
dc.date2004-07-01
dc.date2005-06-13
dc.date.accessioned2026-07-07T12:09:27Z
dc.date.available2026-07-07T12:09:27Z
dc.descriptionWe construct a ``logarithmic'' cohomology operation on Morava E-theory, which is a homomorphism defined on the multiplicative group of invertible elements in the ring E^0(K) of a space K. We obtain a formula for this map in terms of the action of Hecke operators on Morava E-theory. Our formula is closely related to that for an Euler factor of the Hecke L-function of an automorphic form.
dc.description44 pages; revised version, including an expanded introduction and a complete reworking of sections 4 and 8 (of the original version), which now correspond to sections 4, 5, and 9 of the new version
dc.identifierhttps://arxiv.org/abs/math/0407022
dc.identifierhttp://arxiv.org/abs/math/0407022
dc.identifierJ. Amer. Math. Soc. 19 (2006), 969-1014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209631
dc.subjectAlgebraic Topology
dc.subject55N22; 55P43, 55S05, 55S25, 55P47, 55P60, 55N34, 11F25
dc.titleThe units of a ring spectrum and a logarithmic cohomology operation
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