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

preprint2015arXivOpen access

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 $S^2 \times S^2$ .

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

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A four dimensional hyperbolic link complement in a standard S2×S2S^2 \times S^2S2×S2

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