Algebraic cobordism of bundles on varieties

Lee, Y.-P., and Pandharipande, Rahul. "Algebraic cobordism of bundles on varieties." Journal of the European Mathematical Society 014.4 (2012): 1081-1101. <http://eudml.org/doc/277286>.

@article{Lee2012,
abstract = {The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over $\mathbb \{Q\}$) of the corresponding cobordism groups over Spec($\mathbb \{C\}$) 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.},
author = {Lee, Y.-P., Pandharipande, Rahul},
journal = {Journal of the European Mathematical Society},
keywords = {algebraic cobordism; varieties; bundles; algebraic cobordism; varieties; bundles},
language = {eng},
number = {4},
pages = {1081-1101},
publisher = {European Mathematical Society Publishing House},
title = {Algebraic cobordism of bundles on varieties},
url = {http://eudml.org/doc/277286},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Lee, Y.-P.
AU - Pandharipande, Rahul
TI - Algebraic cobordism of bundles on varieties
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 4
SP - 1081
EP - 1101
AB - The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over $\mathbb {Q}$) of the corresponding cobordism groups over Spec($\mathbb {C}$) 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.
LA - eng
KW - algebraic cobordism; varieties; bundles; algebraic cobordism; varieties; bundles
UR - http://eudml.org/doc/277286
ER -