Difference of mutant knot invariants and their differential expansion
arXiv:2004.06598 · doi:10.1134/S0021364020090015
Abstract
We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of , which are large enough to distinguish between them. These mutant pairs include the pretzel mutants, which require at least the representation, labeled by the Young diagram . We discuss the differential expansion for the differences, it is non-trivial in the case of mutants, which have the non-zero defect. The most effective technical tool, in this case, turns out to be the standard Reshetikhin-Turaev approach.
arXiv comment6 pages
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