Title: The units of a ring spectrum and a logarithmic cohomology operation
Author: Charles Rezk
Authors e-mail address: rezk@math.uiuc.edu
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.