Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rank 2 vector bundles on ind-Grassmannians   The simplest example of an ind-Grassmannian is the infinite projective space
$\mathbf P^\infty$. The Barth-Van de Ven-Tyurin (BVT) Theorem, proved more than
30 years ago \cite{BV}, \cite{T}, \cite{Sa} (see also a recent proof by A.
Coand\u{a} and G. Trautmann, \cite{CT}), claims that any vector bundle of
finite rank on $\mathbf P^\infty$ is isomorphic to a direct sum of line
bundles. In the last decade natural examples of infinite flag varieties (or
flag ind-varieties) have arisen as homogeneous spaces of locally linear
ind-groups, \cite{DPW}, \cite{DiP}. In the present paper we concentrate our
attention to the special case of ind-Grassmannians, i.e. to inductive limits of
Grassmannians of growing dimension.

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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th