Quantum Approach to Dehn Surgery Problem
Geometric Topology
2018-04-03 v2 High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.1803.11143,
title = {Quantum Approach to Dehn Surgery Problem},
author = {Dongmin Gang},
journal= {arXiv preprint arXiv:1803.11143},
year = {2018}
}
Comments
10 pages, v2: Typos corrected