Algebraic Cobordism as a module over the Lazard ring
Algebraic Geometry
2014-12-23 v2 Algebraic Topology
K-Theory and Homology
Abstract
In this paper we study the structure of the Algebraic Cobordism ring of a variety as a module over the Lazard ring, and show that it has relations in positive codimensions. We actually prove the stronger graded version. This extends the result of M.Levine-F.Morel claiming that this module has generators in non-negative codimensions. As an application we compute the Algebraic Cobordism ring of a curve. The main tool is Symmetric Operations in Algebraic Cobordism.
Cite
@article{arxiv.1409.0156,
title = {Algebraic Cobordism as a module over the Lazard ring},
author = {Alexander Vishik},
journal= {arXiv preprint arXiv:1409.0156},
year = {2014}
}
Comments
10 pages