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Mutation (knot Theory)




Mutants can be difficult to distinguish as they have a number of the same invariants. They have the same Hyperbolic Volume (by a result of Ruberman), and have the same HOMFLY Polynomial s.


FAMOUS MUTANTS

  • Conway and Kinoshita-Terasaka mutant pair

  • ---These can be distinguished by Knot Genus .



REFERENCES

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