Motivic Landweber Exactness
Algebraic Geometry
2009-11-02 v3 Algebraic Topology
Abstract
We prove a motivic version of Landweber's exact functor theorem from topology. The main result is that the assignment given by a Landweber-type formula using the MGL-homology of a motivic spectrum defines a homology theory on the stable motivic homotopy category and is representable by a Tate-like (or cellular) spectrum. Using the universal coefficient spectral sequence of Dugger-Isaksen we deduce formulas for operations of motivic Landweber spectra of a certain type including homotopy algebraic K-theory. Finally we construct a Chern character as a map between motivic spectra.
Cite
@article{arxiv.0806.0274,
title = {Motivic Landweber Exactness},
author = {Niko Naumann and Paul Arne Østvær and Markus Spitzweck},
journal= {arXiv preprint arXiv:0806.0274},
year = {2009}
}
Comments
minor revision, essentially in final form, to appear in Documenta Math