Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Indecomposable parabolic bundles and the existence of matrices in
  prescribed conjugacy class closures with product equal to the identity   We study the possible dimension vectors of indecomposable parabolic bundles
on the projective line, and use our answer to solve the problem of
characterizing those collections of conjugacy classes of n by n matrices for
which one can find matrices in their closures whose product is equal to the
identity matrix. Both answers depend on the root system of a Kac-Moody Lie
algebra. Our proofs use Ringel's theory of tubular algebras, work of Mihai on
the existence of logarithmic connections, the Riemann-Hilbert correspondence
and an algebraic version, due to Dettweiler and Reiter, of Katz's middle
convolution operation.

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The categories of this paper are: cs
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph