Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrical description of vortices in Ginzburg-Landau billiards   In these notes we discuss the topological nature of some problems in
condensed matter physics.
  We adopt the language of differential geometry to present this subject and
our aim is to develop some intuition towards concepts like curvature, fiber
bundles, connexions, characteristic classes and topological invariants. The
lectures end with a theoretical analysis of recent experimental results
obtained on mesoscopic superconducting films.

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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph