A four dimensional hyperbolic link complement in a standard $S^4$

TL;DR

This paper constructs a specific four-dimensional hyperbolic link complement within a 4-manifold that is diffeomorphic to the standard 4-sphere, using Kirby calculus techniques.

Contribution

It provides an explicit construction of a hyperbolic link complement in the standard 4-sphere, advancing understanding of 4-manifold topology.

Findings

Explicit construction of a hyperbolic link complement in S^4

Application of Kirby calculus techniques

Demonstration of hyperbolic structures in 4-sphere complements

Abstract

Using techniques from the theory of Kirby calculus we give an explicit construction of a four dimensional hyperbolic link complement in a 4-manifold that is diffeomorphic to the standard 4-sphere.