Chern classes from Morava K-theories to Chow groups

Abstract

In this paper we calculate the ring of unstable (possibly non-additive) operations from algebraic Morava K-theory K(n) to Chow groups with ${\mathbb{Z}}_{(p)}$-coefficients. More precisely, we prove that it is a formal power series ring on generators $c_i:K(n)\to C{H}^i\otimes {\mathbb{Z}}_{(p)}$, which satisfy a Cartan-type formula.

arXiv comment24 pages, definition of Morava K-theories changed and minor revisions