Bipyramids and bounds on volumes of hyperbolic links
Colin Adams
TL;DR
This paper introduces a novel approach using ideal bipyramids to establish new upper bounds on the volumes of hyperbolic link complements based on their projection combinatorics.
Contribution
It presents a new geometric method employing ideal bipyramids to derive volume bounds for hyperbolic links, enhancing previous techniques.
Findings
Derived tighter volume bounds for hyperbolic links.
Connected link projection properties with geometric volume estimates.
Provided a framework for future volume bound improvements.
Abstract
We utilize ideal bipyramids to obtain new upper bounds on volume for hyperbolic link complements in terms of the combinatorics of their projections.
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