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

TL;DR

This paper derives an explicit volume formula for the cone-manifolds associated with the $7_3^2$ link using the Schl"afli formula, and applies it to compute volumes of cyclic coverings over the link.

Contribution

The paper provides the first explicit volume formula for $7_3^2$ link cone-manifolds and applies it to cyclic coverings, advancing understanding of their geometric properties.

Findings

Explicit volume formula for $7_3^2$ link cone-manifolds

Volumes of cyclic coverings over the link calculated

Application of Schl"afli formula to link cone-manifolds

Abstract

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