Geodesic
Algebraic cobordism of bundles on varieties
Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1081-1101

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The double point relation defines a natural theory of algebraic cobordism for bundles on varieties. We construct a simple basis (over Q) 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.
DOI : 10.4171/jems/327
Classification : 14-XX, 00-XX
Keywords: Algebraic cobordism, varieties, bundles 
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Y.-P. Lee; Rahul Pandharipande. Algebraic cobordism of bundles on varieties. Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1081-1101. doi: 10.4171/jems/327

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