Quantum invariants of three-manifolds obtained by surgeries along torus knots
Geometric Topology
2020-12-07 v2
Abstract
We study the asymptotic behavior of the Witten-Reshetikhin-Turaev invariant associated with the square of the -th root of unity with odd for a Seifert fibered space obtained by an integral Dehn surgery along a torus knot. We show that it can be described as a sum of the Chern-Simons invariants and the twisted Reidemeister torsions both associated with representations of the fundamental group to the two-dimensional complex special linear group.
Keywords
Cite
@article{arxiv.2011.05484,
title = {Quantum invariants of three-manifolds obtained by surgeries along torus knots},
author = {Hitoshi Murakami and Anh T. Tran},
journal= {arXiv preprint arXiv:2011.05484},
year = {2020}
}
Comments
69 pages, 13 figures