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1–efficient triangulations and the index of a cusped hyperbolic 3–manifold

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 …