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Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory
7
votes
Accepted
Links with same Jones polynomial
Probably the best way to produce infinite families of links with same Jones polynomial is by Conway mutation, this operation does not alter the HOMFLY polynomial either. A good example
of this is give …
2
votes
Who thought that the Alexander polynomial was the only knot invariant of its kind?
You can find some historical remarks on polynomial invariants in chapter 9 of the book
"Knots and links" by Cromwell, he also gives a lot of references.