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As a consequence of the work of , Satellite Knot . As a consequence, hyperbolic knots can be considered plentiful. A similar heuristic applies to hyperbolic links.

As a consequence of Thurston's Hyperbolic Dehn Surgery theorem, performing Dehn Surgeries on a hyperbolic link enables one to obtain many more Hyperbolic 3-manifold s.


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SEE ALSO



REFERENCES

  • Colin Adams, ''The Knot Book'', American Mathematical Society, ISBN 0805073809

  • William Menasco, ''Closed incompressible surfaces in alternating knot and link complements''. Topology 23 (1984), no. 1, 37--44.

  • William Thurston, ''The geometry and topology of 3-manifolds'', Princeton lecture notes (1978-1981).



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