The units of a ring spectrum and a logarithmic cohomology operation
Algebraic Topology
2008-12-05 v2
Abstract
We 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.
Keywords
Cite
@article{arxiv.math/0407022,
title = {The units of a ring spectrum and a logarithmic cohomology operation},
author = {Charles Rezk},
journal= {arXiv preprint arXiv:math/0407022},
year = {2008}
}
Comments
44 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