On the volume and the Chern-Simons invariant for the $2$-bridge knot orbifolds
Geometric Topology
2017-06-27 v2
Abstract
We extend some part of the unpublished paper written by Mednykh and Rasskazov. Using the approach indicated in this paper we derive the Riley-Mednykh polynomial for some family of the -bridge knot orbifolds. As a result we obtain explicit formulae for the volume of cone-manifolds and the Chern-Simons invariant of orbifolds of the knot with Conway's notation .
Keywords
Cite
@article{arxiv.1607.08044,
title = {On the volume and the Chern-Simons invariant for the $2$-bridge knot orbifolds},
author = {Ji-Young Ham and Joongul Lee and Alexander Mednykh and Aleksey Rasskazov},
journal= {arXiv preprint arXiv:1607.08044},
year = {2017}
}
Comments
20 pages, 8 figures, 5 tables. arXiv admin note: text overlap with arXiv:1601.00723, arXiv:1512.05481