# Algebraic cobordism of bundles on varieties

Y.-P. Lee; Rahul Pandharipande

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 4, page 1081-1101
- ISSN: 1435-9855

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topLee, 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 -

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