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Quantum Approach to Dehn Surgery Problem (1803.11143v2)
Published 29 Mar 2018 in math.GT, hep-th, and quant-ph
Abstract: We propose a new algorithm for Dehn surgery problem, finding exceptional Dehn filling slopes for a given hyperbolic 3-manifold with a torus boundary, using a quantum invariant called "3D index". The invariant is defined using an ideal triangulation of the cusped 3-manifold. We test the algorithm for many examples.
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