Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Veering triangulations and Cannon-Thurston maps   Any hyperbolic surface bundle over the circle gives rise to a continuous
surjection from the circle to the sphere, by work of Cannon and Thurston. We
prove that the order in which this surjection fills out the sphere is dictated
by a natural triangulation of the surface bundle (introduced by Agol) when all
singularities of the invariant foliations are at punctures of the fiber.

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The categories of this paper are: cs
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: q-fin