An alternative approach to hyperbolic structures on link complements

TL;DR

This paper introduces a new method for determining hyperbolic structures on link complements, especially effective for alternating links, and explores some basic implications of this approach.

Contribution

It presents an alternative technique for hyperbolic structure determination that is particularly suited for alternating links, offering a different perspective from existing methods.

Findings

The new method effectively determines hyperbolic structures on alternating links.

Elementary consequences of the method are examined and discussed.

The approach provides a practical alternative to traditional techniques.

Abstract

An alternative method is described for determining the hyperbolic structure on a link complement, and some of its elementary consequences are examined. The method is particularly suited to alternating links.