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A census of exceptional Dehn fillings

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arxiv 1812.11940 v2 pith:VDO2RCX6 submitted 2018-12-31 math.GT

A census of exceptional Dehn fillings

classification math.GT
keywords dehnexceptionalfillingsidealcensuscompleteconjecturesconsistent
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This paper describes the complete list of all 205,822 exceptional Dehn fillings on the 1-cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra. The data is consistent with the standard conjectures about Dehn filling and suggests some new ones.

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  1. Refined 3D index

    hep-th 2026-04 unverdicted novelty 7.0

    A refined 3D index is defined by adding flavor symmetry gradings to the superconformal index of T[M], yielding an explicit infinite-sum formula from Dehn surgery that is claimed to be a strictly stronger invariant tha...