Links with surgery yielding the 3-sphere

Details Links with surgery yielding the 3-sphere Links with surgery yielding the 3-sphere

2001-05-16

arxiv.org/abs/math/0105127v1

Mathematics

Geometric Topology

3 pages, 2 figures

Scientific paper

For any n\ge 2, we give infinitely many unsplittable links of n components in the 3-sphere which admit non-trivial surgery yielding the 3-sphere again and whose components are mutually distinct hyperbolic knots. Berge and Kawauchi gave 2-component hyperbolic links with those two properties. We can also give infinitely many 2-component hyperbolic tunnel number one links with such properties.

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