Quantum Approach to Dehn Surgery Problem

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.

10 pages, v2: Typos corrected

References in corpus (2)

• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Complex Chern-Simons theory at level k via the 3d-3d correspondence

Cited by in corpus (2)

• M-theoretic Genesis of Topological Phases
• Infrared phases of 3D Class R theories