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arXiv · 1605.04444

Chern classes from Morava K-theories to Chow groups

Pavel Sechin
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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 $c_i:K(n)\rightarrow CH^i \otimes \mathbb{Z}_{(p)}$, which satisfy a Cartan-type formula.

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Pavel Sechin. 2017-01-24. Chern classes from Morava K-theories to Chow groups. https://arxiv.org/abs/1605.04444

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