Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal Lagrangian Bundles   The obstruction to construct a Lagrangian bundle over a fixed integral affine
manifold was constructed by Dazord and Delzant in \cite{daz_delz} and shown to
be given by `twisted' cup products in \cite{sepe_lag}. This paper uses the
topology of universal Lagrangian bundles, which classify Lagrangian bundles
topologically (cf. \cite{sepe_topc}), to reinterpret this obstruction as the
vanishing of a differential on the second page of a Leray-Serre spectral
sequence. Using this interpretation, it is shown that the obstruction of Dazord
and Delzant depends on an important cohomological invariant of the integral
affine structure on the base space, called the radiance obstruction, which was
introduced by Goldman and Hirsch in \cite{goldman}. Some examples, related to
non-degenerate singularities of completely integrable Hamiltonian systems, are
discussed.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: eess