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The construction of double point cobordism groups of vector bundles onvarieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee andRahul Pandharipande gives immediately double point cobordism groups of filteredvector bundles on varieties. We note also that among the four basic operations-- direct sum, tensor product, dual, and Hom -- on vector bundles on varieties,only taking dual is compatible with double point cobordisms of vector bundleson varieties in general, by a demonstration on an example of vector bundles onCalabi-Yau 3-folds. A question on refined and/or higher algebraic cobordisms ofvector bundles on varieties is posed in the end.

Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande