A four dimensional hyperbolic link complement in a standard $S^2 \times S^2$

TL;DR

This paper constructs an explicit example of a four-dimensional hyperbolic link complement within a manifold diffeomorphic to the standard S^2 x S^2, utilizing Kirby calculus techniques.

Contribution

It provides the first explicit construction of a 4D hyperbolic link complement in a standard S^2 x S^2 using Kirby calculus.

Findings

Explicit construction of a 4D hyperbolic link complement

Application of Kirby calculus techniques

Diffeomorphism to standard S^2 x S^2

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 a standard $S^2 \times S^2$.