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

26 Jun 2017  ·  Ham Ji-Young, Lee Joongul, Mednykh Alexander, Rasskazov Aleksey ·

We extend some part of the unpublished paper written by Mednykh and Rasskazov.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

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Geometric Topology