Algebraic cobordism of bundles on varieties
Algebraic Geometry
2010-02-21 v2 K-Theory and Homology
Abstract
The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over the rationals) of the corresponding cobordism groups over Spec(C) for all dimensions of varieties and ranks of bundles. The basis consists of split bundles over products of projective spaces. Moreover, we prove the full theory for bundles on varieties is an extension of scalars of standard algebraic cobordism.
Keywords
Cite
@article{arxiv.1002.1500,
title = {Algebraic cobordism of bundles on varieties},
author = {Y. -P. Lee and R. Pandharipande},
journal= {arXiv preprint arXiv:1002.1500},
year = {2010}
}
Comments
24 pages, reference added