Algebraic cobordism
K-Theory and Homology
2007-05-23 v1
Abstract
Together with F. Morel, we have constructed in \cite{CR, Cobord1, Cobord2} a theory of {\em algebraic cobordism}, an algebro-geometric version of the topological theory of complex cobordism. In this paper, we give a survey of the construction and main results of this theory; in the final section, we propose a candidate for a theory of higher algebraic cobordism, which hopefully agrees with the cohomology theory represented by the -spectrum in the Morel-Voevodsky stable homotopy category.
Cite
@article{arxiv.math/0304206,
title = {Algebraic cobordism},
author = {Marc Levine},
journal= {arXiv preprint arXiv:math/0304206},
year = {2007}
}