Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 1-efficient triangulations and the index of a cusped hyperbolic
  3-manifold   In this paper we will promote the 3D index of an ideal triangulation T of an
oriented cusped 3-manifold M (a collection of q-series with integer
coefficients, introduced by Dimofte-Gaiotto-Gukov) to a topological invariant
of oriented cusped hyperbolic 3-manifolds. To achieve our goal we show that (a)
T admits an index structure if and only if T is 1-efficient and (b) if M is
hyperbolic, it has a canonical set of 1-efficient ideal triangulations related
by 2-3 and 0-2 moves which preserve the 3D index. We illustrate our results
with several examples.

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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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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: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg