arXiv subjects

Aleksey Rasskazov

Publications and source records attributed to Aleksey Rasskazov.

2 recordsLinked to original sources

arXiv2017

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

We extend some part of the unpublished paper written by Mednykh and Rasskazov.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

math.GT↗

arXiv2016

An explicit volume formula for the link $7_3^2 (α, α)$ cone-manifolds

We calculate the volume of the $7_3^2$ link cone-manifolds using the Schläfli formula. As an application, we give the volume of the cyclic coverings over the link.

math.GT↗