On the relation of Voevodsky's algebraic cobordism to Quillen's K-theory, by Ivan Panin, Konstantin Pimenov, and Oliver Roendigs

A theorem due to Conner and Floyd reconstructs complex K-theory via complex cobordism. The main result of the present preprint reconstructs Qullen's K-theory via the algebraic cobordism of Voevodsky. Our proof is quite elementary and is differerent of an unpublished proof of a similar result due to Hopkins and Morel.

Ivan Panin <paniniv@gmail.com>
Konstantin Pimenov <kip302002@yahoo.com>
Oliver Roendigs <oroendig@math.uni-osnabrueck.de>