arXiv Analytics

Sign in

arXiv:1607.08044 [math.GT]AbstractReferencesReviewsResources

On the volume and the Chern-Simons invariant for the $2$-bridge knot orbifolds

Ji-Young Ham, Joongul Lee, Alexander Mednykh, Aleksey Rasskazov

Published 2016-07-27Version 1

We extend some part of the unpublished paper written by Mednykh and Rasskazov.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 $2$-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 $C(2n,4)$.

Comments: 20 pages, 8 figures, 5 tables. arXiv admin note: text overlap with arXiv:1601.00723, arXiv:1512.05481
Categories: math.GT
Subjects: 57M27, 57M25
Related articles: Most relevant | Search more
arXiv:1803.01259 [math.GT] (Published 2018-03-03)
On the volume and the Chern-Simons invariant for the hyperbolic alternating knot orbifolds
arXiv:1011.3139 [math.GT] (Published 2010-11-13)
Geometric interpretation of simplicial formulas for the Chern-Simons invariant
arXiv:1102.3530 [math.GT] (Published 2011-02-17)
The colored Jones polynomial, the Chern--Simons invariant, and the Reidemeister torsion of the figure-eight knot

Links

Toolbox