Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic cobordism of filtered vector bundles on varieties: Notes on a
  work of Lee and Pandharipande   The construction of double point cobordism groups of vector bundles on
varieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee and
Rahul Pandharipande gives immediately double point cobordism groups of filtered
vector 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 bundles
on varieties in general, by a demonstration on an example of vector bundles on
Calabi-Yau 3-folds. A question on refined and/or higher algebraic cobordisms of
vector bundles on varieties is posed in the end.

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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga