The units of a ring spectrum and a logarithmic cohomology operation

Details The units of a ring spectrum and a logarithmic cohomology operation The units of a ring spectrum and a logarithmic cohomology operation

2004-07-01

arxiv.org/abs/math/0407022v2

J. Amer. Math. Soc. 19 (2006), 969-1014

Mathematics

Algebraic Topology

44 pages; revised version, including an expanded introduction and a complete reworking of sections 4 and 8 (of the original ve

Scientific paper

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.

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