论文标题

突变结的差异及其差分扩展

Difference of mutant knot invariants and their differential expansion

论文作者

Bishler, L., Dhara, Saswati, Grigoryev, T., Mironov, A., Morozov, A., Morozov, An., Ramadevi, P., Singh, Vivek Kumar, Sleptsov, A.

论文摘要

我们评估了Homfly-pt不变性的差异,这些突变结对颜色为$ sl(n)$,它们足够大,可以区分它们。这些突变型对包括椒盐​​脆饼突变体,至少需要代表,并标记为年轻图$ [4,2] $。我们讨论了差异的差异膨胀,在突变体的情况下,它是非零缺陷的。在这种情况下,最有效的技术工具原来是标准的Res​​hetikhin-Turaev方法。

We evaluate the differences of HOMFLY-PT invariants for pairs of mutant knots colored with representations of $SL(N)$, 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 $[4,2]$. 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.

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